What is the Least Common Multiple of 40668 and 40675?

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 40668 and 40675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40668 and 40675, than apply into the LCM equation.

GCF(40668,40675) = 1
LCM(40668,40675) = ( 40668 × 40675) / 1
LCM(40668,40675) = 1654170900 / 1
LCM(40668,40675) = 1654170900

Least Common Multiple (LCM) of 40668 and 40675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40668 and 40675. First we will calculate the prime factors of 40668 and 40675.

Prime Factorization of 40668

Prime Factorization of 40675

Now multiplying the highest exponent prime factors to calculate the LCM of 40668 and 40675.

LCM(40668,40675) = 2² × 3¹ × 3389¹ × 5² × 1627¹
LCM(40668,40675) = 1654170900