What is the Least Common Multiple of 4638 and 4646?

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 4646 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 4646, than apply into the LCM equation.

GCF(4638,4646) = 2
LCM(4638,4646) = ( 4638 × 4646) / 2
LCM(4638,4646) = 21548148 / 2
LCM(4638,4646) = 10774074

Least Common Multiple (LCM) of 4638 and 4646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4638 and 4646. First we will calculate the prime factors of 4638 and 4646.

Prime Factorization of 4638

Prime Factorization of 4646

Now multiplying the highest exponent prime factors to calculate the LCM of 4638 and 4646.

LCM(4638,4646) = 2¹ × 3¹ × 773¹ × 23¹ × 101¹
LCM(4638,4646) = 10774074