What is the Least Common Multiple of 28977 and 28983?

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 28983 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 28983, than apply into the LCM equation.

GCF(28977,28983) = 3
LCM(28977,28983) = ( 28977 × 28983) / 3
LCM(28977,28983) = 839840391 / 3
LCM(28977,28983) = 279946797

Least Common Multiple (LCM) of 28977 and 28983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28977 and 28983. First we will calculate the prime factors of 28977 and 28983.

Prime Factorization of 28977

Prime Factorization of 28983

Now multiplying the highest exponent prime factors to calculate the LCM of 28977 and 28983.

LCM(28977,28983) = 3¹ × 13¹ × 743¹ × 9661¹
LCM(28977,28983) = 279946797