GCF and LCM Calculator Logo

What is the Least Common Multiple of 27732 and 27751?

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 27732 and 27751 is 769590732.

LCM(27732,27751) = 769590732

LCM Calculator and
and

Least Common Multiple of 27732 and 27751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27732 and 27751, than apply into the LCM equation.

GCF(27732,27751) = 1
LCM(27732,27751) = ( 27732 × 27751) / 1
LCM(27732,27751) = 769590732 / 1
LCM(27732,27751) = 769590732

Least Common Multiple (LCM) of 27732 and 27751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27732 and 27751. First we will calculate the prime factors of 27732 and 27751.

Prime Factorization of 27732

Prime factors of 27732 are 2, 3, 2311. Prime factorization of 27732 in exponential form is:

27732 = 22 × 31 × 23111

Prime Factorization of 27751

Prime factors of 27751 are 27751. Prime factorization of 27751 in exponential form is:

27751 = 277511

Now multiplying the highest exponent prime factors to calculate the LCM of 27732 and 27751.

LCM(27732,27751) = 22 × 31 × 23111 × 277511
LCM(27732,27751) = 769590732