What is the Least Common Multiple of 87390 and 87405?

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 87405 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 87405, than apply into the LCM equation.

GCF(87390,87405) = 15
LCM(87390,87405) = ( 87390 × 87405) / 15
LCM(87390,87405) = 7638322950 / 15
LCM(87390,87405) = 509221530

Least Common Multiple (LCM) of 87390 and 87405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87390 and 87405. First we will calculate the prime factors of 87390 and 87405.

Prime Factorization of 87390

Prime Factorization of 87405

Now multiplying the highest exponent prime factors to calculate the LCM of 87390 and 87405.

LCM(87390,87405) = 2¹ × 3² × 5¹ × 971¹ × 5827¹
LCM(87390,87405) = 509221530