GCF and LCM Calculator Logo

What is the Least Common Multiple of 27650 and 27663?

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 27650 and 27663 is 764881950.

LCM(27650,27663) = 764881950

LCM Calculator and
and

Least Common Multiple of 27650 and 27663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27650 and 27663, than apply into the LCM equation.

GCF(27650,27663) = 1
LCM(27650,27663) = ( 27650 × 27663) / 1
LCM(27650,27663) = 764881950 / 1
LCM(27650,27663) = 764881950

Least Common Multiple (LCM) of 27650 and 27663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27650 and 27663. First we will calculate the prime factors of 27650 and 27663.

Prime Factorization of 27650

Prime factors of 27650 are 2, 5, 7, 79. Prime factorization of 27650 in exponential form is:

27650 = 21 × 52 × 71 × 791

Prime Factorization of 27663

Prime factors of 27663 are 3, 9221. Prime factorization of 27663 in exponential form is:

27663 = 31 × 92211

Now multiplying the highest exponent prime factors to calculate the LCM of 27650 and 27663.

LCM(27650,27663) = 21 × 52 × 71 × 791 × 31 × 92211
LCM(27650,27663) = 764881950