What is the Least Common Multiple of 7509 and 7524?

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 7509 and 7524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7509 and 7524, than apply into the LCM equation.

GCF(7509,7524) = 3
LCM(7509,7524) = ( 7509 × 7524) / 3
LCM(7509,7524) = 56497716 / 3
LCM(7509,7524) = 18832572

Least Common Multiple (LCM) of 7509 and 7524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7509 and 7524. First we will calculate the prime factors of 7509 and 7524.

Prime Factorization of 7509

Prime Factorization of 7524

Now multiplying the highest exponent prime factors to calculate the LCM of 7509 and 7524.

LCM(7509,7524) = 3² × 2503¹ × 2² × 11¹ × 19¹
LCM(7509,7524) = 18832572