What is the Least Common Multiple of 88628 and 88633?

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 88628 and 88633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88628 and 88633, than apply into the LCM equation.

GCF(88628,88633) = 1
LCM(88628,88633) = ( 88628 × 88633) / 1
LCM(88628,88633) = 7855365524 / 1
LCM(88628,88633) = 7855365524

Least Common Multiple (LCM) of 88628 and 88633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88628 and 88633. First we will calculate the prime factors of 88628 and 88633.

Prime Factorization of 88628

Prime Factorization of 88633

Now multiplying the highest exponent prime factors to calculate the LCM of 88628 and 88633.

LCM(88628,88633) = 2² × 22157¹ × 61¹ × 1453¹
LCM(88628,88633) = 7855365524