What is the Least Common Multiple of 38170 and 38175?

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 38170 and 38175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38170 and 38175, than apply into the LCM equation.

GCF(38170,38175) = 5
LCM(38170,38175) = ( 38170 × 38175) / 5
LCM(38170,38175) = 1457139750 / 5
LCM(38170,38175) = 291427950

Least Common Multiple (LCM) of 38170 and 38175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38170 and 38175. First we will calculate the prime factors of 38170 and 38175.

Prime Factorization of 38170

Prime Factorization of 38175

Now multiplying the highest exponent prime factors to calculate the LCM of 38170 and 38175.

LCM(38170,38175) = 2¹ × 5² × 11¹ × 347¹ × 3¹ × 509¹
LCM(38170,38175) = 291427950