What is the Least Common Multiple of 28968 and 28977?

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 28968 and 28977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28968 and 28977, than apply into the LCM equation.

GCF(28968,28977) = 3
LCM(28968,28977) = ( 28968 × 28977) / 3
LCM(28968,28977) = 839405736 / 3
LCM(28968,28977) = 279801912

Least Common Multiple (LCM) of 28968 and 28977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28968 and 28977. First we will calculate the prime factors of 28968 and 28977.

Prime Factorization of 28968

Prime Factorization of 28977

Now multiplying the highest exponent prime factors to calculate the LCM of 28968 and 28977.

LCM(28968,28977) = 2³ × 3¹ × 17¹ × 71¹ × 13¹ × 743¹
LCM(28968,28977) = 279801912