What is the Least Common Multiple of 87390 and 87408?

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 87390 and 87408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87390 and 87408, than apply into the LCM equation.

GCF(87390,87408) = 18
LCM(87390,87408) = ( 87390 × 87408) / 18
LCM(87390,87408) = 7638585120 / 18
LCM(87390,87408) = 424365840

Least Common Multiple (LCM) of 87390 and 87408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87390 and 87408. First we will calculate the prime factors of 87390 and 87408.

Prime Factorization of 87390

Prime Factorization of 87408

Now multiplying the highest exponent prime factors to calculate the LCM of 87390 and 87408.

LCM(87390,87408) = 2⁴ × 3² × 5¹ × 971¹ × 607¹
LCM(87390,87408) = 424365840