What is the Least Common Multiple of 87405 and 87412?

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 87405 and 87412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87405 and 87412, than apply into the LCM equation.

GCF(87405,87412) = 1
LCM(87405,87412) = ( 87405 × 87412) / 1
LCM(87405,87412) = 7640245860 / 1
LCM(87405,87412) = 7640245860

Least Common Multiple (LCM) of 87405 and 87412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87405 and 87412. First we will calculate the prime factors of 87405 and 87412.

Prime Factorization of 87405

Prime Factorization of 87412

Now multiplying the highest exponent prime factors to calculate the LCM of 87405 and 87412.

LCM(87405,87412) = 3¹ × 5¹ × 5827¹ × 2² × 13¹ × 41²
LCM(87405,87412) = 7640245860