What is the Least Common Multiple of 28977 and 28986?

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 of 28977 and 28986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28977 and 28986, than apply into the LCM equation.

GCF(28977,28986) = 3
LCM(28977,28986) = ( 28977 × 28986) / 3
LCM(28977,28986) = 839927322 / 3
LCM(28977,28986) = 279975774

Least Common Multiple (LCM) of 28977 and 28986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28977 and 28986. First we will calculate the prime factors of 28977 and 28986.

Prime Factorization of 28977

Prime Factorization of 28986

Now multiplying the highest exponent prime factors to calculate the LCM of 28977 and 28986.

LCM(28977,28986) = 3¹ × 13¹ × 743¹ × 2¹ × 4831¹
LCM(28977,28986) = 279975774