What is the Least Common Multiple of 76623 and 76635?

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 76623 and 76635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76623 and 76635, than apply into the LCM equation.

GCF(76623,76635) = 3
LCM(76623,76635) = ( 76623 × 76635) / 3
LCM(76623,76635) = 5872003605 / 3
LCM(76623,76635) = 1957334535

Least Common Multiple (LCM) of 76623 and 76635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76623 and 76635. First we will calculate the prime factors of 76623 and 76635.

Prime Factorization of 76623

Prime Factorization of 76635

Now multiplying the highest exponent prime factors to calculate the LCM of 76623 and 76635.

LCM(76623,76635) = 3² × 25541¹ × 5¹ × 13¹ × 131¹
LCM(76623,76635) = 1957334535