GCF and LCM Calculator Logo

What is the Least Common Multiple of 30856 and 30868?

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 30856 and 30868 is 238115752.

LCM(30856,30868) = 238115752

LCM Calculator and
and

Least Common Multiple of 30856 and 30868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30856 and 30868, than apply into the LCM equation.

GCF(30856,30868) = 4
LCM(30856,30868) = ( 30856 × 30868) / 4
LCM(30856,30868) = 952463008 / 4
LCM(30856,30868) = 238115752

Least Common Multiple (LCM) of 30856 and 30868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30856 and 30868. First we will calculate the prime factors of 30856 and 30868.

Prime Factorization of 30856

Prime factors of 30856 are 2, 7, 19, 29. Prime factorization of 30856 in exponential form is:

30856 = 23 × 71 × 191 × 291

Prime Factorization of 30868

Prime factors of 30868 are 2, 7717. Prime factorization of 30868 in exponential form is:

30868 = 22 × 77171

Now multiplying the highest exponent prime factors to calculate the LCM of 30856 and 30868.

LCM(30856,30868) = 23 × 71 × 191 × 291 × 77171
LCM(30856,30868) = 238115752