What is the Least Common Multiple of 4688 and 4708?

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 4688 and 4708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4688 and 4708, than apply into the LCM equation.

GCF(4688,4708) = 4
LCM(4688,4708) = ( 4688 × 4708) / 4
LCM(4688,4708) = 22071104 / 4
LCM(4688,4708) = 5517776

Least Common Multiple (LCM) of 4688 and 4708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4688 and 4708. First we will calculate the prime factors of 4688 and 4708.

Prime Factorization of 4688

Prime Factorization of 4708

Now multiplying the highest exponent prime factors to calculate the LCM of 4688 and 4708.

LCM(4688,4708) = 2⁴ × 293¹ × 11¹ × 107¹
LCM(4688,4708) = 5517776