What is the Least Common Multiple of 40026 and 40039?

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 40026 and 40039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40026 and 40039, than apply into the LCM equation.

GCF(40026,40039) = 1
LCM(40026,40039) = ( 40026 × 40039) / 1
LCM(40026,40039) = 1602601014 / 1
LCM(40026,40039) = 1602601014

Least Common Multiple (LCM) of 40026 and 40039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40026 and 40039. First we will calculate the prime factors of 40026 and 40039.

Prime Factorization of 40026

Prime Factorization of 40039

Now multiplying the highest exponent prime factors to calculate the LCM of 40026 and 40039.

LCM(40026,40039) = 2¹ × 3¹ × 7¹ × 953¹ × 40039¹
LCM(40026,40039) = 1602601014