What is the Least Common Multiple of 7623 and 7635?

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 7623 and 7635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7623 and 7635, than apply into the LCM equation.

GCF(7623,7635) = 3
LCM(7623,7635) = ( 7623 × 7635) / 3
LCM(7623,7635) = 58201605 / 3
LCM(7623,7635) = 19400535

Least Common Multiple (LCM) of 7623 and 7635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7623 and 7635. First we will calculate the prime factors of 7623 and 7635.

Prime Factorization of 7623

Prime Factorization of 7635

Now multiplying the highest exponent prime factors to calculate the LCM of 7623 and 7635.

LCM(7623,7635) = 3² × 7¹ × 11² × 5¹ × 509¹
LCM(7623,7635) = 19400535