What is the Least Common Multiple of 39170 and 39175?

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 39170 and 39175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39170 and 39175, than apply into the LCM equation.

GCF(39170,39175) = 5
LCM(39170,39175) = ( 39170 × 39175) / 5
LCM(39170,39175) = 1534484750 / 5
LCM(39170,39175) = 306896950

Least Common Multiple (LCM) of 39170 and 39175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39170 and 39175. First we will calculate the prime factors of 39170 and 39175.

Prime Factorization of 39170

Prime Factorization of 39175

Now multiplying the highest exponent prime factors to calculate the LCM of 39170 and 39175.

LCM(39170,39175) = 2¹ × 5² × 3917¹ × 1567¹
LCM(39170,39175) = 306896950