What is the Least Common Multiple of 86628 and 86633?

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 86628 and 86633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86628 and 86633, than apply into the LCM equation.

GCF(86628,86633) = 1
LCM(86628,86633) = ( 86628 × 86633) / 1
LCM(86628,86633) = 7504843524 / 1
LCM(86628,86633) = 7504843524

Least Common Multiple (LCM) of 86628 and 86633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86628 and 86633. First we will calculate the prime factors of 86628 and 86633.

Prime Factorization of 86628

Prime Factorization of 86633

Now multiplying the highest exponent prime factors to calculate the LCM of 86628 and 86633.

LCM(86628,86633) = 2² × 3¹ × 7219¹ × 41¹ × 2113¹
LCM(86628,86633) = 7504843524