What is the Least Common Multiple of 87617 and 87636?

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 87617 and 87636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87617 and 87636, than apply into the LCM equation.

GCF(87617,87636) = 1
LCM(87617,87636) = ( 87617 × 87636) / 1
LCM(87617,87636) = 7678403412 / 1
LCM(87617,87636) = 7678403412

Least Common Multiple (LCM) of 87617 and 87636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87617 and 87636. First we will calculate the prime factors of 87617 and 87636.

Prime Factorization of 87617

Prime Factorization of 87636

Now multiplying the highest exponent prime factors to calculate the LCM of 87617 and 87636.

LCM(87617,87636) = 41¹ × 2137¹ × 2² × 3¹ × 67¹ × 109¹
LCM(87617,87636) = 7678403412