GCF and LCM Calculator Logo

What is the Least Common Multiple of 30561 and 30567?

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 30561 and 30567 is 311386029.

LCM(30561,30567) = 311386029

LCM Calculator and
and

Least Common Multiple of 30561 and 30567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30561 and 30567, than apply into the LCM equation.

GCF(30561,30567) = 3
LCM(30561,30567) = ( 30561 × 30567) / 3
LCM(30561,30567) = 934158087 / 3
LCM(30561,30567) = 311386029

Least Common Multiple (LCM) of 30561 and 30567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30561 and 30567. First we will calculate the prime factors of 30561 and 30567.

Prime Factorization of 30561

Prime factors of 30561 are 3, 61, 167. Prime factorization of 30561 in exponential form is:

30561 = 31 × 611 × 1671

Prime Factorization of 30567

Prime factors of 30567 are 3, 23, 443. Prime factorization of 30567 in exponential form is:

30567 = 31 × 231 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 30561 and 30567.

LCM(30561,30567) = 31 × 611 × 1671 × 231 × 4431
LCM(30561,30567) = 311386029