What is the Least Common Multiple of 15160 and 15174?

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 15160 and 15174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15160 and 15174, than apply into the LCM equation.

GCF(15160,15174) = 2
LCM(15160,15174) = ( 15160 × 15174) / 2
LCM(15160,15174) = 230037840 / 2
LCM(15160,15174) = 115018920

Least Common Multiple (LCM) of 15160 and 15174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15160 and 15174. First we will calculate the prime factors of 15160 and 15174.

Prime Factorization of 15160

Prime Factorization of 15174

Now multiplying the highest exponent prime factors to calculate the LCM of 15160 and 15174.

LCM(15160,15174) = 2³ × 5¹ × 379¹ × 3³ × 281¹
LCM(15160,15174) = 115018920