What is the Least Common Multiple of 40075 and 40085?

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 40085 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 40085, than apply into the LCM equation.

GCF(40075,40085) = 5
LCM(40075,40085) = ( 40075 × 40085) / 5
LCM(40075,40085) = 1606406375 / 5
LCM(40075,40085) = 321281275

Least Common Multiple (LCM) of 40075 and 40085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40075 and 40085. First we will calculate the prime factors of 40075 and 40085.

Prime Factorization of 40075

Prime Factorization of 40085

Now multiplying the highest exponent prime factors to calculate the LCM of 40075 and 40085.

LCM(40075,40085) = 5² × 7¹ × 229¹ × 8017¹
LCM(40075,40085) = 321281275