What is the Least Common Multiple of 42918 and 42931?

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 42918 and 42931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42918 and 42931, than apply into the LCM equation.

GCF(42918,42931) = 1
LCM(42918,42931) = ( 42918 × 42931) / 1
LCM(42918,42931) = 1842512658 / 1
LCM(42918,42931) = 1842512658

Least Common Multiple (LCM) of 42918 and 42931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42918 and 42931. First we will calculate the prime factors of 42918 and 42931.

Prime Factorization of 42918

Prime Factorization of 42931

Now multiplying the highest exponent prime factors to calculate the LCM of 42918 and 42931.

LCM(42918,42931) = 2¹ × 3¹ × 23¹ × 311¹ × 7¹ × 6133¹
LCM(42918,42931) = 1842512658