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Least Common Multiples(LCM) of two numbers is that multiples of all smallest common divisors until two integers become 1. The LCM is well know as lowest common multiple or smallest common multiple.
Two Numbers | LCM Value |
---|---|
2, 2 | 2 |
2, 3 | 6 |
12, 24 | 24 |
9, 12 | 36 |
We find the lcm of two numbers using mathematical representation
We find the lcm of three numbers using mathematical representation
Let us write a simple C program to find the LCM of two integers.
#include <stdio.h> int main() { int num1, num2, max; printf("Enter two positive integers: "); scanf("%d%d", &num1, &num2); max = (num1 > num2) ? num1 : num2; for(;;) { if(max % num1 == 0 && max % num2 == 0) { printf("LCM of %d and %d is %d ", num1, num2, max); break; } max++; } return 0; }
Enter two positive integers: 12 24 LCM of 12 and 24 is 24
Here we make use of infinite for loop. Clearly first we will find the maximum of two integer. say 2 and 3 then max = 3. if two numbers are not divisible to max, then we will increase the max number count by 1 and we will check again. The same process is repeated over and over again until two numbers are divisible to max. Once two numbers are divisible to max, just return the max number.
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