What is the Least Common Multiple of 38130 and 38138?

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 38130 and 38138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38130 and 38138, than apply into the LCM equation.

GCF(38130,38138) = 2
LCM(38130,38138) = ( 38130 × 38138) / 2
LCM(38130,38138) = 1454201940 / 2
LCM(38130,38138) = 727100970

Least Common Multiple (LCM) of 38130 and 38138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38130 and 38138. First we will calculate the prime factors of 38130 and 38138.

Prime Factorization of 38130

Prime Factorization of 38138

Now multiplying the highest exponent prime factors to calculate the LCM of 38130 and 38138.

LCM(38130,38138) = 2¹ × 3¹ × 5¹ × 31¹ × 41¹ × 19069¹
LCM(38130,38138) = 727100970