What is the Least Common Multiple of 4623 and 4635?

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 4623 and 4635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4623 and 4635, than apply into the LCM equation.

GCF(4623,4635) = 3
LCM(4623,4635) = ( 4623 × 4635) / 3
LCM(4623,4635) = 21427605 / 3
LCM(4623,4635) = 7142535

Least Common Multiple (LCM) of 4623 and 4635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4623 and 4635. First we will calculate the prime factors of 4623 and 4635.

Prime Factorization of 4623

Prime Factorization of 4635

Now multiplying the highest exponent prime factors to calculate the LCM of 4623 and 4635.

LCM(4623,4635) = 3² × 23¹ × 67¹ × 5¹ × 103¹
LCM(4623,4635) = 7142535