What is the Least Common Multiple of 17968 and 17977?

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 17968 and 17977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17968 and 17977, than apply into the LCM equation.

GCF(17968,17977) = 1
LCM(17968,17977) = ( 17968 × 17977) / 1
LCM(17968,17977) = 323010736 / 1
LCM(17968,17977) = 323010736

Least Common Multiple (LCM) of 17968 and 17977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17968 and 17977. First we will calculate the prime factors of 17968 and 17977.

Prime Factorization of 17968

Prime Factorization of 17977

Now multiplying the highest exponent prime factors to calculate the LCM of 17968 and 17977.

LCM(17968,17977) = 2⁴ × 1123¹ × 17977¹
LCM(17968,17977) = 323010736