What is the Least Common Multiple of 40023 and 40042?

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 40023 and 40042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40023 and 40042, than apply into the LCM equation.

GCF(40023,40042) = 1
LCM(40023,40042) = ( 40023 × 40042) / 1
LCM(40023,40042) = 1602600966 / 1
LCM(40023,40042) = 1602600966

Least Common Multiple (LCM) of 40023 and 40042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40023 and 40042. First we will calculate the prime factors of 40023 and 40042.

Prime Factorization of 40023

Prime Factorization of 40042

Now multiplying the highest exponent prime factors to calculate the LCM of 40023 and 40042.

LCM(40023,40042) = 3² × 4447¹ × 2¹ × 20021¹
LCM(40023,40042) = 1602600966