What is the Least Common Multiple of 4675 and 4688?

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 4675 and 4688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4675 and 4688, than apply into the LCM equation.

GCF(4675,4688) = 1
LCM(4675,4688) = ( 4675 × 4688) / 1
LCM(4675,4688) = 21916400 / 1
LCM(4675,4688) = 21916400

Least Common Multiple (LCM) of 4675 and 4688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4675 and 4688. First we will calculate the prime factors of 4675 and 4688.

Prime Factorization of 4675

Prime Factorization of 4688

Now multiplying the highest exponent prime factors to calculate the LCM of 4675 and 4688.

LCM(4675,4688) = 5² × 11¹ × 17¹ × 2⁴ × 293¹
LCM(4675,4688) = 21916400