What is the Least Common Multiple of 38115 and 38130?

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 38115 and 38130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38115 and 38130, than apply into the LCM equation.

GCF(38115,38130) = 15
LCM(38115,38130) = ( 38115 × 38130) / 15
LCM(38115,38130) = 1453324950 / 15
LCM(38115,38130) = 96888330

Least Common Multiple (LCM) of 38115 and 38130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38115 and 38130. First we will calculate the prime factors of 38115 and 38130.

Prime Factorization of 38115

Prime Factorization of 38130

Now multiplying the highest exponent prime factors to calculate the LCM of 38115 and 38130.

LCM(38115,38130) = 3² × 5¹ × 7¹ × 11² × 2¹ × 31¹ × 41¹
LCM(38115,38130) = 96888330