GCF and LCM Calculator Logo

What is the Least Common Multiple of 4510 and 4528?

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 4510 and 4528 is 10210640.

LCM(4510,4528) = 10210640

LCM Calculator and
and

Least Common Multiple of 4510 and 4528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4510 and 4528, than apply into the LCM equation.

GCF(4510,4528) = 2
LCM(4510,4528) = ( 4510 × 4528) / 2
LCM(4510,4528) = 20421280 / 2
LCM(4510,4528) = 10210640

Least Common Multiple (LCM) of 4510 and 4528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4510 and 4528. First we will calculate the prime factors of 4510 and 4528.

Prime Factorization of 4510

Prime factors of 4510 are 2, 5, 11, 41. Prime factorization of 4510 in exponential form is:

4510 = 21 × 51 × 111 × 411

Prime Factorization of 4528

Prime factors of 4528 are 2, 283. Prime factorization of 4528 in exponential form is:

4528 = 24 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 4510 and 4528.

LCM(4510,4528) = 24 × 51 × 111 × 411 × 2831
LCM(4510,4528) = 10210640