What is the Least Common Multiple of 94080 and 94092?

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 94080 and 94092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94080 and 94092, than apply into the LCM equation.

GCF(94080,94092) = 12
LCM(94080,94092) = ( 94080 × 94092) / 12
LCM(94080,94092) = 8852175360 / 12
LCM(94080,94092) = 737681280

Least Common Multiple (LCM) of 94080 and 94092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94080 and 94092. First we will calculate the prime factors of 94080 and 94092.

Prime Factorization of 94080

Prime Factorization of 94092

Now multiplying the highest exponent prime factors to calculate the LCM of 94080 and 94092.

LCM(94080,94092) = 2⁷ × 3¹ × 5¹ × 7² × 7841¹
LCM(94080,94092) = 737681280