What is the Least Common Multiple of 7488 and 7507?

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 7488 and 7507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7488 and 7507, than apply into the LCM equation.

GCF(7488,7507) = 1
LCM(7488,7507) = ( 7488 × 7507) / 1
LCM(7488,7507) = 56212416 / 1
LCM(7488,7507) = 56212416

Least Common Multiple (LCM) of 7488 and 7507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7488 and 7507. First we will calculate the prime factors of 7488 and 7507.

Prime Factorization of 7488

Prime Factorization of 7507

Now multiplying the highest exponent prime factors to calculate the LCM of 7488 and 7507.

LCM(7488,7507) = 2⁶ × 3² × 13¹ × 7507¹
LCM(7488,7507) = 56212416