What is the Least Common Multiple of 4635 and 4642?

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 4635 and 4642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4635 and 4642, than apply into the LCM equation.

GCF(4635,4642) = 1
LCM(4635,4642) = ( 4635 × 4642) / 1
LCM(4635,4642) = 21515670 / 1
LCM(4635,4642) = 21515670

Least Common Multiple (LCM) of 4635 and 4642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4635 and 4642. First we will calculate the prime factors of 4635 and 4642.

Prime Factorization of 4635

Prime Factorization of 4642

Now multiplying the highest exponent prime factors to calculate the LCM of 4635 and 4642.

LCM(4635,4642) = 3² × 5¹ × 103¹ × 2¹ × 11¹ × 211¹
LCM(4635,4642) = 21515670