What is the Least Common Multiple of 4638 and 4657?

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 4638 and 4657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4638 and 4657, than apply into the LCM equation.

GCF(4638,4657) = 1
LCM(4638,4657) = ( 4638 × 4657) / 1
LCM(4638,4657) = 21599166 / 1
LCM(4638,4657) = 21599166

Least Common Multiple (LCM) of 4638 and 4657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4638 and 4657. First we will calculate the prime factors of 4638 and 4657.

Prime Factorization of 4638

Prime Factorization of 4657

Now multiplying the highest exponent prime factors to calculate the LCM of 4638 and 4657.

LCM(4638,4657) = 2¹ × 3¹ × 773¹ × 4657¹
LCM(4638,4657) = 21599166