What is the Least Common Multiple of 17478 and 17497?

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 17478 and 17497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17478 and 17497, than apply into the LCM equation.

GCF(17478,17497) = 1
LCM(17478,17497) = ( 17478 × 17497) / 1
LCM(17478,17497) = 305812566 / 1
LCM(17478,17497) = 305812566

Least Common Multiple (LCM) of 17478 and 17497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17478 and 17497. First we will calculate the prime factors of 17478 and 17497.

Prime Factorization of 17478

Prime Factorization of 17497

Now multiplying the highest exponent prime factors to calculate the LCM of 17478 and 17497.

LCM(17478,17497) = 2¹ × 3² × 971¹ × 17497¹
LCM(17478,17497) = 305812566