What is the Least Common Multiple of 94920 and 94940?

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 94940 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 94940, than apply into the LCM equation.

GCF(94920,94940) = 20
LCM(94920,94940) = ( 94920 × 94940) / 20
LCM(94920,94940) = 9011704800 / 20
LCM(94920,94940) = 450585240

Least Common Multiple (LCM) of 94920 and 94940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94920 and 94940. First we will calculate the prime factors of 94920 and 94940.

Prime Factorization of 94920

Prime Factorization of 94940

Now multiplying the highest exponent prime factors to calculate the LCM of 94920 and 94940.

LCM(94920,94940) = 2³ × 3¹ × 5¹ × 7¹ × 113¹ × 47¹ × 101¹
LCM(94920,94940) = 450585240