GCF and LCM Calculator Logo

What is the Least Common Multiple of 67572 and 67576?

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 67572 and 67576 is 1141561368.

LCM(67572,67576) = 1141561368

LCM Calculator and
and

Least Common Multiple of 67572 and 67576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67572 and 67576, than apply into the LCM equation.

GCF(67572,67576) = 4
LCM(67572,67576) = ( 67572 × 67576) / 4
LCM(67572,67576) = 4566245472 / 4
LCM(67572,67576) = 1141561368

Least Common Multiple (LCM) of 67572 and 67576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67572 and 67576. First we will calculate the prime factors of 67572 and 67576.

Prime Factorization of 67572

Prime factors of 67572 are 2, 3, 1877. Prime factorization of 67572 in exponential form is:

67572 = 22 × 32 × 18771

Prime Factorization of 67576

Prime factors of 67576 are 2, 8447. Prime factorization of 67576 in exponential form is:

67576 = 23 × 84471

Now multiplying the highest exponent prime factors to calculate the LCM of 67572 and 67576.

LCM(67572,67576) = 23 × 32 × 18771 × 84471
LCM(67572,67576) = 1141561368