What is the Least Common Multiple of 94872 and 94880?

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 94872 and 94880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94872 and 94880, than apply into the LCM equation.

GCF(94872,94880) = 8
LCM(94872,94880) = ( 94872 × 94880) / 8
LCM(94872,94880) = 9001455360 / 8
LCM(94872,94880) = 1125181920

Least Common Multiple (LCM) of 94872 and 94880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94872 and 94880. First we will calculate the prime factors of 94872 and 94880.

Prime Factorization of 94872

Prime Factorization of 94880

Now multiplying the highest exponent prime factors to calculate the LCM of 94872 and 94880.

LCM(94872,94880) = 2⁵ × 3¹ × 59¹ × 67¹ × 5¹ × 593¹
LCM(94872,94880) = 1125181920