GCF and LCM Calculator Logo

What is the Least Common Multiple of 17567 and 17572?

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 17567 and 17572 is 308687324.

LCM(17567,17572) = 308687324

LCM Calculator and
and

Least Common Multiple of 17567 and 17572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17567 and 17572, than apply into the LCM equation.

GCF(17567,17572) = 1
LCM(17567,17572) = ( 17567 × 17572) / 1
LCM(17567,17572) = 308687324 / 1
LCM(17567,17572) = 308687324

Least Common Multiple (LCM) of 17567 and 17572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17567 and 17572. First we will calculate the prime factors of 17567 and 17572.

Prime Factorization of 17567

Prime factors of 17567 are 11, 1597. Prime factorization of 17567 in exponential form is:

17567 = 111 × 15971

Prime Factorization of 17572

Prime factors of 17572 are 2, 23, 191. Prime factorization of 17572 in exponential form is:

17572 = 22 × 231 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 17567 and 17572.

LCM(17567,17572) = 111 × 15971 × 22 × 231 × 1911
LCM(17567,17572) = 308687324