What is the Least Common Multiple of 87120 and 87138?

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 87120 and 87138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87120 and 87138, than apply into the LCM equation.

GCF(87120,87138) = 18
LCM(87120,87138) = ( 87120 × 87138) / 18
LCM(87120,87138) = 7591462560 / 18
LCM(87120,87138) = 421747920

Least Common Multiple (LCM) of 87120 and 87138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87120 and 87138. First we will calculate the prime factors of 87120 and 87138.

Prime Factorization of 87120

Prime Factorization of 87138

Now multiplying the highest exponent prime factors to calculate the LCM of 87120 and 87138.

LCM(87120,87138) = 2⁴ × 3² × 5¹ × 11² × 47¹ × 103¹
LCM(87120,87138) = 421747920