What is the Least Common Multiple of 60926 and 60938?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 60926 and 60938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60926 and 60938, than apply into the LCM equation.

GCF(60926,60938) = 2
LCM(60926,60938) = ( 60926 × 60938) / 2
LCM(60926,60938) = 3712708588 / 2
LCM(60926,60938) = 1856354294

Least Common Multiple (LCM) of 60926 and 60938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60926 and 60938. First we will calculate the prime factors of 60926 and 60938.

Prime Factorization of 60926

Prime Factorization of 60938

Now multiplying the highest exponent prime factors to calculate the LCM of 60926 and 60938.

LCM(60926,60938) = 2¹ × 41¹ × 743¹ × 30469¹
LCM(60926,60938) = 1856354294