What is the Least Common Multiple of 40374 and 40383?

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 40374 and 40383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40374 and 40383, than apply into the LCM equation.

GCF(40374,40383) = 9
LCM(40374,40383) = ( 40374 × 40383) / 9
LCM(40374,40383) = 1630423242 / 9
LCM(40374,40383) = 181158138

Least Common Multiple (LCM) of 40374 and 40383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40374 and 40383. First we will calculate the prime factors of 40374 and 40383.

Prime Factorization of 40374

Prime Factorization of 40383

Now multiplying the highest exponent prime factors to calculate the LCM of 40374 and 40383.

LCM(40374,40383) = 2¹ × 3² × 2243¹ × 7¹ × 641¹
LCM(40374,40383) = 181158138