GCF and LCM Calculator Logo

What is the Least Common Multiple of 30757 and 30768?

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 30757 and 30768 is 946331376.

LCM(30757,30768) = 946331376

LCM Calculator and
and

Least Common Multiple of 30757 and 30768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30757 and 30768, than apply into the LCM equation.

GCF(30757,30768) = 1
LCM(30757,30768) = ( 30757 × 30768) / 1
LCM(30757,30768) = 946331376 / 1
LCM(30757,30768) = 946331376

Least Common Multiple (LCM) of 30757 and 30768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30757 and 30768. First we will calculate the prime factors of 30757 and 30768.

Prime Factorization of 30757

Prime factors of 30757 are 30757. Prime factorization of 30757 in exponential form is:

30757 = 307571

Prime Factorization of 30768

Prime factors of 30768 are 2, 3, 641. Prime factorization of 30768 in exponential form is:

30768 = 24 × 31 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 30757 and 30768.

LCM(30757,30768) = 307571 × 24 × 31 × 6411
LCM(30757,30768) = 946331376