What is the Least Common Multiple of 7536 and 7542?

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 7536 and 7542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7536 and 7542, than apply into the LCM equation.

GCF(7536,7542) = 6
LCM(7536,7542) = ( 7536 × 7542) / 6
LCM(7536,7542) = 56836512 / 6
LCM(7536,7542) = 9472752

Least Common Multiple (LCM) of 7536 and 7542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7536 and 7542. First we will calculate the prime factors of 7536 and 7542.

Prime Factorization of 7536

Prime Factorization of 7542

Now multiplying the highest exponent prime factors to calculate the LCM of 7536 and 7542.

LCM(7536,7542) = 2⁴ × 3² × 157¹ × 419¹
LCM(7536,7542) = 9472752