What is the Least Common Multiple of 15145 and 15160?

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 15145 and 15160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15145 and 15160, than apply into the LCM equation.

GCF(15145,15160) = 5
LCM(15145,15160) = ( 15145 × 15160) / 5
LCM(15145,15160) = 229598200 / 5
LCM(15145,15160) = 45919640

Least Common Multiple (LCM) of 15145 and 15160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15145 and 15160. First we will calculate the prime factors of 15145 and 15160.

Prime Factorization of 15145

Prime Factorization of 15160

Now multiplying the highest exponent prime factors to calculate the LCM of 15145 and 15160.

LCM(15145,15160) = 5¹ × 13¹ × 233¹ × 2³ × 379¹
LCM(15145,15160) = 45919640