GCF and LCM Calculator Logo

What is the Least Common Multiple of 4536 and 4546?

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 4536 and 4546 is 10310328.

LCM(4536,4546) = 10310328

LCM Calculator and
and

Least Common Multiple of 4536 and 4546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4536 and 4546, than apply into the LCM equation.

GCF(4536,4546) = 2
LCM(4536,4546) = ( 4536 × 4546) / 2
LCM(4536,4546) = 20620656 / 2
LCM(4536,4546) = 10310328

Least Common Multiple (LCM) of 4536 and 4546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4536 and 4546. First we will calculate the prime factors of 4536 and 4546.

Prime Factorization of 4536

Prime factors of 4536 are 2, 3, 7. Prime factorization of 4536 in exponential form is:

4536 = 23 × 34 × 71

Prime Factorization of 4546

Prime factors of 4546 are 2, 2273. Prime factorization of 4546 in exponential form is:

4546 = 21 × 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 4536 and 4546.

LCM(4536,4546) = 23 × 34 × 71 × 22731
LCM(4536,4546) = 10310328