What is the Least Common Multiple of 39085 and 39100?

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 39085 and 39100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39085 and 39100, than apply into the LCM equation.

GCF(39085,39100) = 5
LCM(39085,39100) = ( 39085 × 39100) / 5
LCM(39085,39100) = 1528223500 / 5
LCM(39085,39100) = 305644700

Least Common Multiple (LCM) of 39085 and 39100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39085 and 39100. First we will calculate the prime factors of 39085 and 39100.

Prime Factorization of 39085

Prime Factorization of 39100

Now multiplying the highest exponent prime factors to calculate the LCM of 39085 and 39100.

LCM(39085,39100) = 5² × 7817¹ × 2² × 17¹ × 23¹
LCM(39085,39100) = 305644700