What is the Least Common Multiple of 4656 and 4675?

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 4656 and 4675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4656 and 4675, than apply into the LCM equation.

GCF(4656,4675) = 1
LCM(4656,4675) = ( 4656 × 4675) / 1
LCM(4656,4675) = 21766800 / 1
LCM(4656,4675) = 21766800

Least Common Multiple (LCM) of 4656 and 4675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4656 and 4675. First we will calculate the prime factors of 4656 and 4675.

Prime Factorization of 4656

Prime Factorization of 4675

Now multiplying the highest exponent prime factors to calculate the LCM of 4656 and 4675.

LCM(4656,4675) = 2⁴ × 3¹ × 97¹ × 5² × 11¹ × 17¹
LCM(4656,4675) = 21766800