What is the Least Common Multiple of 15198 and 15208?

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 15198 and 15208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15198 and 15208, than apply into the LCM equation.

GCF(15198,15208) = 2
LCM(15198,15208) = ( 15198 × 15208) / 2
LCM(15198,15208) = 231131184 / 2
LCM(15198,15208) = 115565592

Least Common Multiple (LCM) of 15198 and 15208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15198 and 15208. First we will calculate the prime factors of 15198 and 15208.

Prime Factorization of 15198

Prime Factorization of 15208

Now multiplying the highest exponent prime factors to calculate the LCM of 15198 and 15208.

LCM(15198,15208) = 2³ × 3¹ × 17¹ × 149¹ × 1901¹
LCM(15198,15208) = 115565592