What is the Least Common Multiple of 17954 and 17968?

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 17954 and 17968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17954 and 17968, than apply into the LCM equation.

GCF(17954,17968) = 2
LCM(17954,17968) = ( 17954 × 17968) / 2
LCM(17954,17968) = 322597472 / 2
LCM(17954,17968) = 161298736

Least Common Multiple (LCM) of 17954 and 17968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17954 and 17968. First we will calculate the prime factors of 17954 and 17968.

Prime Factorization of 17954

Prime Factorization of 17968

Now multiplying the highest exponent prime factors to calculate the LCM of 17954 and 17968.

LCM(17954,17968) = 2⁴ × 47¹ × 191¹ × 1123¹
LCM(17954,17968) = 161298736