GCF and LCM Calculator Logo

What is the Least Common Multiple of 12572 and 12576?

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 12572 and 12576 is 39526368.

LCM(12572,12576) = 39526368

LCM Calculator and
and

Least Common Multiple of 12572 and 12576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12572 and 12576, than apply into the LCM equation.

GCF(12572,12576) = 4
LCM(12572,12576) = ( 12572 × 12576) / 4
LCM(12572,12576) = 158105472 / 4
LCM(12572,12576) = 39526368

Least Common Multiple (LCM) of 12572 and 12576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12572 and 12576. First we will calculate the prime factors of 12572 and 12576.

Prime Factorization of 12572

Prime factors of 12572 are 2, 7, 449. Prime factorization of 12572 in exponential form is:

12572 = 22 × 71 × 4491

Prime Factorization of 12576

Prime factors of 12576 are 2, 3, 131. Prime factorization of 12576 in exponential form is:

12576 = 25 × 31 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 12572 and 12576.

LCM(12572,12576) = 25 × 71 × 4491 × 31 × 1311
LCM(12572,12576) = 39526368