What is the Least Common Multiple of 39750 and 39770?

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 39750 and 39770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39750 and 39770, than apply into the LCM equation.

GCF(39750,39770) = 10
LCM(39750,39770) = ( 39750 × 39770) / 10
LCM(39750,39770) = 1580857500 / 10
LCM(39750,39770) = 158085750

Least Common Multiple (LCM) of 39750 and 39770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39750 and 39770. First we will calculate the prime factors of 39750 and 39770.

Prime Factorization of 39750

Prime Factorization of 39770

Now multiplying the highest exponent prime factors to calculate the LCM of 39750 and 39770.

LCM(39750,39770) = 2¹ × 3¹ × 5³ × 53¹ × 41¹ × 97¹
LCM(39750,39770) = 158085750