GCF and LCM Calculator Logo

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 (LCM) of 7452 and 7459 is 55584468.

LCM(7452,7459) = 55584468

LCM Calculator and
and

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 factors of 7452 are 2, 3, 23. Prime factorization of 7452 in exponential form is:

7452 = 22 × 34 × 231

Prime Factorization of 7459

Prime factors of 7459 are 7459. Prime factorization of 7459 in exponential form is:

7459 = 74591

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