What is the Least Common Multiple of 7452 and 7459?

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 7452 and 7459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7452 and 7459, than apply into the LCM equation.

GCF(7452,7459) = 1
LCM(7452,7459) = ( 7452 × 7459) / 1
LCM(7452,7459) = 55584468 / 1
LCM(7452,7459) = 55584468

Least Common Multiple (LCM) of 7452 and 7459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7452 and 7459. First we will calculate the prime factors of 7452 and 7459.

Prime Factorization of 7452

Prime Factorization of 7459

Now multiplying the highest exponent prime factors to calculate the LCM of 7452 and 7459.

LCM(7452,7459) = 2² × 3⁴ × 23¹ × 7459¹
LCM(7452,7459) = 55584468