What is the Least Common Multiple of 40065 and 40075?

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 40065 and 40075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40065 and 40075, than apply into the LCM equation.

GCF(40065,40075) = 5
LCM(40065,40075) = ( 40065 × 40075) / 5
LCM(40065,40075) = 1605604875 / 5
LCM(40065,40075) = 321120975

Least Common Multiple (LCM) of 40065 and 40075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40065 and 40075. First we will calculate the prime factors of 40065 and 40075.

Prime Factorization of 40065

Prime Factorization of 40075

Now multiplying the highest exponent prime factors to calculate the LCM of 40065 and 40075.

LCM(40065,40075) = 3¹ × 5² × 2671¹ × 7¹ × 229¹
LCM(40065,40075) = 321120975