What is the Least Common Multiple of 17460 and 17472?

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 17460 and 17472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17460 and 17472, than apply into the LCM equation.

GCF(17460,17472) = 12
LCM(17460,17472) = ( 17460 × 17472) / 12
LCM(17460,17472) = 305061120 / 12
LCM(17460,17472) = 25421760

Least Common Multiple (LCM) of 17460 and 17472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17460 and 17472. First we will calculate the prime factors of 17460 and 17472.

Prime Factorization of 17460

Prime Factorization of 17472

Now multiplying the highest exponent prime factors to calculate the LCM of 17460 and 17472.

LCM(17460,17472) = 2⁶ × 3² × 5¹ × 97¹ × 7¹ × 13¹
LCM(17460,17472) = 25421760