What is the Least Common Multiple of 87636 and 87653?

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 87636 and 87653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87636 and 87653, than apply into the LCM equation.

GCF(87636,87653) = 1
LCM(87636,87653) = ( 87636 × 87653) / 1
LCM(87636,87653) = 7681558308 / 1
LCM(87636,87653) = 7681558308

Least Common Multiple (LCM) of 87636 and 87653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87636 and 87653. First we will calculate the prime factors of 87636 and 87653.

Prime Factorization of 87636

Prime Factorization of 87653

Now multiplying the highest exponent prime factors to calculate the LCM of 87636 and 87653.

LCM(87636,87653) = 2² × 3¹ × 67¹ × 109¹ × 23¹ × 37¹ × 103¹
LCM(87636,87653) = 7681558308