What is the Least Common Multiple of 94920 and 94938?

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 94920 and 94938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94920 and 94938, than apply into the LCM equation.

GCF(94920,94938) = 6
LCM(94920,94938) = ( 94920 × 94938) / 6
LCM(94920,94938) = 9011514960 / 6
LCM(94920,94938) = 1501919160

Least Common Multiple (LCM) of 94920 and 94938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94920 and 94938. First we will calculate the prime factors of 94920 and 94938.

Prime Factorization of 94920

Prime Factorization of 94938

Now multiplying the highest exponent prime factors to calculate the LCM of 94920 and 94938.

LCM(94920,94938) = 2³ × 3¹ × 5¹ × 7¹ × 113¹ × 15823¹
LCM(94920,94938) = 1501919160