What is the Least Common Multiple of 17715 and 17728?

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 17715 and 17728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17715 and 17728, than apply into the LCM equation.

GCF(17715,17728) = 1
LCM(17715,17728) = ( 17715 × 17728) / 1
LCM(17715,17728) = 314051520 / 1
LCM(17715,17728) = 314051520

Least Common Multiple (LCM) of 17715 and 17728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17715 and 17728. First we will calculate the prime factors of 17715 and 17728.

Prime Factorization of 17715

Prime Factorization of 17728

Now multiplying the highest exponent prime factors to calculate the LCM of 17715 and 17728.

LCM(17715,17728) = 3¹ × 5¹ × 1181¹ × 2⁶ × 277¹
LCM(17715,17728) = 314051520