GCF and LCM Calculator Logo

What is the Least Common Multiple of 27922 and 27939?

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 27922 and 27939 is 780112758.

LCM(27922,27939) = 780112758

LCM Calculator and
and

Least Common Multiple of 27922 and 27939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27922 and 27939, than apply into the LCM equation.

GCF(27922,27939) = 1
LCM(27922,27939) = ( 27922 × 27939) / 1
LCM(27922,27939) = 780112758 / 1
LCM(27922,27939) = 780112758

Least Common Multiple (LCM) of 27922 and 27939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27922 and 27939. First we will calculate the prime factors of 27922 and 27939.

Prime Factorization of 27922

Prime factors of 27922 are 2, 23, 607. Prime factorization of 27922 in exponential form is:

27922 = 21 × 231 × 6071

Prime Factorization of 27939

Prime factors of 27939 are 3, 67, 139. Prime factorization of 27939 in exponential form is:

27939 = 31 × 671 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 27922 and 27939.

LCM(27922,27939) = 21 × 231 × 6071 × 31 × 671 × 1391
LCM(27922,27939) = 780112758