What is the Least Common Multiple of 87912 and 87930?

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 87912 and 87930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87912 and 87930, than apply into the LCM equation.

GCF(87912,87930) = 18
LCM(87912,87930) = ( 87912 × 87930) / 18
LCM(87912,87930) = 7730102160 / 18
LCM(87912,87930) = 429450120

Least Common Multiple (LCM) of 87912 and 87930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87912 and 87930. First we will calculate the prime factors of 87912 and 87930.

Prime Factorization of 87912

Prime Factorization of 87930

Now multiplying the highest exponent prime factors to calculate the LCM of 87912 and 87930.

LCM(87912,87930) = 2³ × 3³ × 11¹ × 37¹ × 5¹ × 977¹
LCM(87912,87930) = 429450120