What is the Least Common Multiple of 38130 and 38149?

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 38149 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 38149, than apply into the LCM equation.

GCF(38130,38149) = 1
LCM(38130,38149) = ( 38130 × 38149) / 1
LCM(38130,38149) = 1454621370 / 1
LCM(38130,38149) = 1454621370

Least Common Multiple (LCM) of 38130 and 38149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38130 and 38149. First we will calculate the prime factors of 38130 and 38149.

Prime Factorization of 38130

Prime Factorization of 38149

Now multiplying the highest exponent prime factors to calculate the LCM of 38130 and 38149.

LCM(38130,38149) = 2¹ × 3¹ × 5¹ × 31¹ × 41¹ × 38149¹
LCM(38130,38149) = 1454621370