What is the Least Common Multiple of 17968 and 17978?

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 17978 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 17978, than apply into the LCM equation.

GCF(17968,17978) = 2
LCM(17968,17978) = ( 17968 × 17978) / 2
LCM(17968,17978) = 323028704 / 2
LCM(17968,17978) = 161514352

Least Common Multiple (LCM) of 17968 and 17978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17968 and 17978. First we will calculate the prime factors of 17968 and 17978.

Prime Factorization of 17968

Prime Factorization of 17978

Now multiplying the highest exponent prime factors to calculate the LCM of 17968 and 17978.

LCM(17968,17978) = 2⁴ × 1123¹ × 89¹ × 101¹
LCM(17968,17978) = 161514352