GCF and LCM Calculator Logo

What is the Least Common Multiple of 30958 and 30972?

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 30958 and 30972 is 479415588.

LCM(30958,30972) = 479415588

LCM Calculator and
and

Least Common Multiple of 30958 and 30972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30958 and 30972, than apply into the LCM equation.

GCF(30958,30972) = 2
LCM(30958,30972) = ( 30958 × 30972) / 2
LCM(30958,30972) = 958831176 / 2
LCM(30958,30972) = 479415588

Least Common Multiple (LCM) of 30958 and 30972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30958 and 30972. First we will calculate the prime factors of 30958 and 30972.

Prime Factorization of 30958

Prime factors of 30958 are 2, 23, 673. Prime factorization of 30958 in exponential form is:

30958 = 21 × 231 × 6731

Prime Factorization of 30972

Prime factors of 30972 are 2, 3, 29, 89. Prime factorization of 30972 in exponential form is:

30972 = 22 × 31 × 291 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 30958 and 30972.

LCM(30958,30972) = 22 × 231 × 6731 × 31 × 291 × 891
LCM(30958,30972) = 479415588