What is the Least Common Multiple of 42478 and 42491?

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 42478 and 42491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42478 and 42491, than apply into the LCM equation.

GCF(42478,42491) = 1
LCM(42478,42491) = ( 42478 × 42491) / 1
LCM(42478,42491) = 1804932698 / 1
LCM(42478,42491) = 1804932698

Least Common Multiple (LCM) of 42478 and 42491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42478 and 42491. First we will calculate the prime factors of 42478 and 42491.

Prime Factorization of 42478

Prime Factorization of 42491

Now multiplying the highest exponent prime factors to calculate the LCM of 42478 and 42491.

LCM(42478,42491) = 2¹ × 67¹ × 317¹ × 42491¹
LCM(42478,42491) = 1804932698