What is the Least Common Multiple of 17457 and 17468?

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 17457 and 17468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17457 and 17468, than apply into the LCM equation.

GCF(17457,17468) = 11
LCM(17457,17468) = ( 17457 × 17468) / 11
LCM(17457,17468) = 304938876 / 11
LCM(17457,17468) = 27721716

Least Common Multiple (LCM) of 17457 and 17468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17457 and 17468. First we will calculate the prime factors of 17457 and 17468.

Prime Factorization of 17457

Prime Factorization of 17468

Now multiplying the highest exponent prime factors to calculate the LCM of 17457 and 17468.

LCM(17457,17468) = 3¹ × 11¹ × 23² × 2² × 397¹
LCM(17457,17468) = 27721716