What is the Least Common Multiple of 84936 and 84948?

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 84936 and 84948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84936 and 84948, than apply into the LCM equation.

GCF(84936,84948) = 12
LCM(84936,84948) = ( 84936 × 84948) / 12
LCM(84936,84948) = 7215143328 / 12
LCM(84936,84948) = 601261944

Least Common Multiple (LCM) of 84936 and 84948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84936 and 84948. First we will calculate the prime factors of 84936 and 84948.

Prime Factorization of 84936

Prime Factorization of 84948

Now multiplying the highest exponent prime factors to calculate the LCM of 84936 and 84948.

LCM(84936,84948) = 2³ × 3¹ × 3539¹ × 7079¹
LCM(84936,84948) = 601261944