GCF and LCM Calculator Logo

What is the Least Common Multiple of 30930 and 30937?

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 30930 and 30937 is 956881410.

LCM(30930,30937) = 956881410

LCM Calculator and
and

Least Common Multiple of 30930 and 30937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30930 and 30937, than apply into the LCM equation.

GCF(30930,30937) = 1
LCM(30930,30937) = ( 30930 × 30937) / 1
LCM(30930,30937) = 956881410 / 1
LCM(30930,30937) = 956881410

Least Common Multiple (LCM) of 30930 and 30937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30930 and 30937. First we will calculate the prime factors of 30930 and 30937.

Prime Factorization of 30930

Prime factors of 30930 are 2, 3, 5, 1031. Prime factorization of 30930 in exponential form is:

30930 = 21 × 31 × 51 × 10311

Prime Factorization of 30937

Prime factors of 30937 are 30937. Prime factorization of 30937 in exponential form is:

30937 = 309371

Now multiplying the highest exponent prime factors to calculate the LCM of 30930 and 30937.

LCM(30930,30937) = 21 × 31 × 51 × 10311 × 309371
LCM(30930,30937) = 956881410