What is the Least Common Multiple of 4656 and 4671?

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 4671 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 4671, than apply into the LCM equation.

GCF(4656,4671) = 3
LCM(4656,4671) = ( 4656 × 4671) / 3
LCM(4656,4671) = 21748176 / 3
LCM(4656,4671) = 7249392

Least Common Multiple (LCM) of 4656 and 4671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4656 and 4671. First we will calculate the prime factors of 4656 and 4671.

Prime Factorization of 4656

Prime Factorization of 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 4656 and 4671.

LCM(4656,4671) = 2⁴ × 3³ × 97¹ × 173¹
LCM(4656,4671) = 7249392