What is the Least Common Multiple of 38130 and 38140?

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 38140 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 38140, than apply into the LCM equation.

GCF(38130,38140) = 10
LCM(38130,38140) = ( 38130 × 38140) / 10
LCM(38130,38140) = 1454278200 / 10
LCM(38130,38140) = 145427820

Least Common Multiple (LCM) of 38130 and 38140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38130 and 38140. First we will calculate the prime factors of 38130 and 38140.

Prime Factorization of 38130

Prime Factorization of 38140

Now multiplying the highest exponent prime factors to calculate the LCM of 38130 and 38140.

LCM(38130,38140) = 2² × 3¹ × 5¹ × 31¹ × 41¹ × 1907¹
LCM(38130,38140) = 145427820