What is the Least Common Multiple of 73457 and 73474?

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 73457 and 73474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73457 and 73474, than apply into the LCM equation.

GCF(73457,73474) = 17
LCM(73457,73474) = ( 73457 × 73474) / 17
LCM(73457,73474) = 5397179618 / 17
LCM(73457,73474) = 317481154

Least Common Multiple (LCM) of 73457 and 73474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73457 and 73474. First we will calculate the prime factors of 73457 and 73474.

Prime Factorization of 73457

Prime Factorization of 73474

Now multiplying the highest exponent prime factors to calculate the LCM of 73457 and 73474.

LCM(73457,73474) = 17¹ × 29¹ × 149¹ × 2¹ × 2161¹
LCM(73457,73474) = 317481154