What is the Least Common Multiple of 15140 and 15145?

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 15140 and 15145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15140 and 15145, than apply into the LCM equation.

GCF(15140,15145) = 5
LCM(15140,15145) = ( 15140 × 15145) / 5
LCM(15140,15145) = 229295300 / 5
LCM(15140,15145) = 45859060

Least Common Multiple (LCM) of 15140 and 15145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15140 and 15145. First we will calculate the prime factors of 15140 and 15145.

Prime Factorization of 15140

Prime Factorization of 15145

Now multiplying the highest exponent prime factors to calculate the LCM of 15140 and 15145.

LCM(15140,15145) = 2² × 5¹ × 757¹ × 13¹ × 233¹
LCM(15140,15145) = 45859060