What is the Least Common Multiple of 17475 and 17480?

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 17475 and 17480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17475 and 17480, than apply into the LCM equation.

GCF(17475,17480) = 5
LCM(17475,17480) = ( 17475 × 17480) / 5
LCM(17475,17480) = 305463000 / 5
LCM(17475,17480) = 61092600

Least Common Multiple (LCM) of 17475 and 17480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17475 and 17480. First we will calculate the prime factors of 17475 and 17480.

Prime Factorization of 17475

Prime Factorization of 17480

Now multiplying the highest exponent prime factors to calculate the LCM of 17475 and 17480.

LCM(17475,17480) = 3¹ × 5² × 233¹ × 2³ × 19¹ × 23¹
LCM(17475,17480) = 61092600