What is the Least Common Multiple of 87930 and 87944?

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 87930 and 87944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87930 and 87944, than apply into the LCM equation.

GCF(87930,87944) = 2
LCM(87930,87944) = ( 87930 × 87944) / 2
LCM(87930,87944) = 7732915920 / 2
LCM(87930,87944) = 3866457960

Least Common Multiple (LCM) of 87930 and 87944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87930 and 87944. First we will calculate the prime factors of 87930 and 87944.

Prime Factorization of 87930

Prime Factorization of 87944

Now multiplying the highest exponent prime factors to calculate the LCM of 87930 and 87944.

LCM(87930,87944) = 2³ × 3² × 5¹ × 977¹ × 10993¹
LCM(87930,87944) = 3866457960