What is the Least Common Multiple of 4688 and 4702?

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 4702 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 4702, than apply into the LCM equation.

GCF(4688,4702) = 2
LCM(4688,4702) = ( 4688 × 4702) / 2
LCM(4688,4702) = 22042976 / 2
LCM(4688,4702) = 11021488

Least Common Multiple (LCM) of 4688 and 4702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4688 and 4702. First we will calculate the prime factors of 4688 and 4702.

Prime Factorization of 4688

Prime Factorization of 4702

Now multiplying the highest exponent prime factors to calculate the LCM of 4688 and 4702.

LCM(4688,4702) = 2⁴ × 293¹ × 2351¹
LCM(4688,4702) = 11021488