GCF and LCM Calculator Logo

What is the Least Common Multiple of 67570 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 67570 and 67576 is 2283055160.

LCM(67570,67576) = 2283055160

LCM Calculator and
and

Least Common Multiple of 67570 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 67570 and 67576, than apply into the LCM equation.

GCF(67570,67576) = 2
LCM(67570,67576) = ( 67570 × 67576) / 2
LCM(67570,67576) = 4566110320 / 2
LCM(67570,67576) = 2283055160

Least Common Multiple (LCM) of 67570 and 67576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67570 and 67576. First we will calculate the prime factors of 67570 and 67576.

Prime Factorization of 67570

Prime factors of 67570 are 2, 5, 29, 233. Prime factorization of 67570 in exponential form is:

67570 = 21 × 51 × 291 × 2331

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 67570 and 67576.

LCM(67570,67576) = 23 × 51 × 291 × 2331 × 84471
LCM(67570,67576) = 2283055160