What is the Least Common Multiple of 66936 and 66942?

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 66936 and 66942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66936 and 66942, than apply into the LCM equation.

GCF(66936,66942) = 6
LCM(66936,66942) = ( 66936 × 66942) / 6
LCM(66936,66942) = 4480829712 / 6
LCM(66936,66942) = 746804952

Least Common Multiple (LCM) of 66936 and 66942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66936 and 66942. First we will calculate the prime factors of 66936 and 66942.

Prime Factorization of 66936

Prime Factorization of 66942

Now multiplying the highest exponent prime factors to calculate the LCM of 66936 and 66942.

LCM(66936,66942) = 2³ × 3² × 2789¹ × 3719¹
LCM(66936,66942) = 746804952