What is the Least Common Multiple of 87405 and 87416?

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 87416 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 87416, than apply into the LCM equation.

GCF(87405,87416) = 1
LCM(87405,87416) = ( 87405 × 87416) / 1
LCM(87405,87416) = 7640595480 / 1
LCM(87405,87416) = 7640595480

Least Common Multiple (LCM) of 87405 and 87416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87405 and 87416. First we will calculate the prime factors of 87405 and 87416.

Prime Factorization of 87405

Prime Factorization of 87416

Now multiplying the highest exponent prime factors to calculate the LCM of 87405 and 87416.

LCM(87405,87416) = 3¹ × 5¹ × 5827¹ × 2³ × 7² × 223¹
LCM(87405,87416) = 7640595480