GCF and LCM Calculator Logo

What is the Least Common Multiple of 28077 and 28086?

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 28077 and 28086 is 262856874.

LCM(28077,28086) = 262856874

LCM Calculator and
and

Least Common Multiple of 28077 and 28086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28077 and 28086, than apply into the LCM equation.

GCF(28077,28086) = 3
LCM(28077,28086) = ( 28077 × 28086) / 3
LCM(28077,28086) = 788570622 / 3
LCM(28077,28086) = 262856874

Least Common Multiple (LCM) of 28077 and 28086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28077 and 28086. First we will calculate the prime factors of 28077 and 28086.

Prime Factorization of 28077

Prime factors of 28077 are 3, 7, 191. Prime factorization of 28077 in exponential form is:

28077 = 31 × 72 × 1911

Prime Factorization of 28086

Prime factors of 28086 are 2, 3, 31, 151. Prime factorization of 28086 in exponential form is:

28086 = 21 × 31 × 311 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 28077 and 28086.

LCM(28077,28086) = 31 × 72 × 1911 × 21 × 311 × 1511
LCM(28077,28086) = 262856874