What is the Least Common Multiple of 40658 and 40666?

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 40658 and 40666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40658 and 40666, than apply into the LCM equation.

GCF(40658,40666) = 2
LCM(40658,40666) = ( 40658 × 40666) / 2
LCM(40658,40666) = 1653398228 / 2
LCM(40658,40666) = 826699114

Least Common Multiple (LCM) of 40658 and 40666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40658 and 40666. First we will calculate the prime factors of 40658 and 40666.

Prime Factorization of 40658

Prime Factorization of 40666

Now multiplying the highest exponent prime factors to calculate the LCM of 40658 and 40666.

LCM(40658,40666) = 2¹ × 29¹ × 701¹ × 20333¹
LCM(40658,40666) = 826699114