What is the Least Common Multiple of 38360 and 38370?

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 38360 and 38370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38360 and 38370, than apply into the LCM equation.

GCF(38360,38370) = 10
LCM(38360,38370) = ( 38360 × 38370) / 10
LCM(38360,38370) = 1471873200 / 10
LCM(38360,38370) = 147187320

Least Common Multiple (LCM) of 38360 and 38370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38360 and 38370. First we will calculate the prime factors of 38360 and 38370.

Prime Factorization of 38360

Prime Factorization of 38370

Now multiplying the highest exponent prime factors to calculate the LCM of 38360 and 38370.

LCM(38360,38370) = 2³ × 5¹ × 7¹ × 137¹ × 3¹ × 1279¹
LCM(38360,38370) = 147187320