What is the Least Common Multiple of 4647 and 4656?

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 4647 and 4656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4647 and 4656, than apply into the LCM equation.

GCF(4647,4656) = 3
LCM(4647,4656) = ( 4647 × 4656) / 3
LCM(4647,4656) = 21636432 / 3
LCM(4647,4656) = 7212144

Least Common Multiple (LCM) of 4647 and 4656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4647 and 4656. First we will calculate the prime factors of 4647 and 4656.

Prime Factorization of 4647

Prime Factorization of 4656

Now multiplying the highest exponent prime factors to calculate the LCM of 4647 and 4656.

LCM(4647,4656) = 3¹ × 1549¹ × 2⁴ × 97¹
LCM(4647,4656) = 7212144