What is the Least Common Multiple of 7524 and 7536?

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 7524 and 7536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7524 and 7536, than apply into the LCM equation.

GCF(7524,7536) = 12
LCM(7524,7536) = ( 7524 × 7536) / 12
LCM(7524,7536) = 56700864 / 12
LCM(7524,7536) = 4725072

Least Common Multiple (LCM) of 7524 and 7536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7524 and 7536. First we will calculate the prime factors of 7524 and 7536.

Prime Factorization of 7524

Prime Factorization of 7536

Now multiplying the highest exponent prime factors to calculate the LCM of 7524 and 7536.

LCM(7524,7536) = 2⁴ × 3² × 11¹ × 19¹ × 157¹
LCM(7524,7536) = 4725072