What is the Least Common Multiple of 40075 and 40082?

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 40075 and 40082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40075 and 40082, than apply into the LCM equation.

GCF(40075,40082) = 7
LCM(40075,40082) = ( 40075 × 40082) / 7
LCM(40075,40082) = 1606286150 / 7
LCM(40075,40082) = 229469450

Least Common Multiple (LCM) of 40075 and 40082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40075 and 40082. First we will calculate the prime factors of 40075 and 40082.

Prime Factorization of 40075

Prime Factorization of 40082

Now multiplying the highest exponent prime factors to calculate the LCM of 40075 and 40082.

LCM(40075,40082) = 5² × 7² × 229¹ × 2¹ × 409¹
LCM(40075,40082) = 229469450