What is the Least Common Multiple of 64628 and 64633?

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 64628 and 64633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64628 and 64633, than apply into the LCM equation.

GCF(64628,64633) = 1
LCM(64628,64633) = ( 64628 × 64633) / 1
LCM(64628,64633) = 4177101524 / 1
LCM(64628,64633) = 4177101524

Least Common Multiple (LCM) of 64628 and 64633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64628 and 64633. First we will calculate the prime factors of 64628 and 64633.

Prime Factorization of 64628

Prime Factorization of 64633

Now multiplying the highest exponent prime factors to calculate the LCM of 64628 and 64633.

LCM(64628,64633) = 2² × 107¹ × 151¹ × 64633¹
LCM(64628,64633) = 4177101524