What is the Least Common Multiple of 60936 and 60942?

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 60936 and 60942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60936 and 60942, than apply into the LCM equation.

GCF(60936,60942) = 6
LCM(60936,60942) = ( 60936 × 60942) / 6
LCM(60936,60942) = 3713561712 / 6
LCM(60936,60942) = 618926952

Least Common Multiple (LCM) of 60936 and 60942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60936 and 60942. First we will calculate the prime factors of 60936 and 60942.

Prime Factorization of 60936

Prime Factorization of 60942

Now multiplying the highest exponent prime factors to calculate the LCM of 60936 and 60942.

LCM(60936,60942) = 2³ × 3¹ × 2539¹ × 7¹ × 1451¹
LCM(60936,60942) = 618926952