GCF and LCM Calculator Logo

What is the Least Common Multiple of 27995 and 28005?

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 27995 and 28005 is 156799995.

LCM(27995,28005) = 156799995

LCM Calculator and
and

Least Common Multiple of 27995 and 28005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27995 and 28005, than apply into the LCM equation.

GCF(27995,28005) = 5
LCM(27995,28005) = ( 27995 × 28005) / 5
LCM(27995,28005) = 783999975 / 5
LCM(27995,28005) = 156799995

Least Common Multiple (LCM) of 27995 and 28005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27995 and 28005. First we will calculate the prime factors of 27995 and 28005.

Prime Factorization of 27995

Prime factors of 27995 are 5, 11, 509. Prime factorization of 27995 in exponential form is:

27995 = 51 × 111 × 5091

Prime Factorization of 28005

Prime factors of 28005 are 3, 5, 1867. Prime factorization of 28005 in exponential form is:

28005 = 31 × 51 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 27995 and 28005.

LCM(27995,28005) = 51 × 111 × 5091 × 31 × 18671
LCM(27995,28005) = 156799995