What is the Least Common Multiple of 15186 and 15203?

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 15186 and 15203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15186 and 15203, than apply into the LCM equation.

GCF(15186,15203) = 1
LCM(15186,15203) = ( 15186 × 15203) / 1
LCM(15186,15203) = 230872758 / 1
LCM(15186,15203) = 230872758

Least Common Multiple (LCM) of 15186 and 15203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15186 and 15203. First we will calculate the prime factors of 15186 and 15203.

Prime Factorization of 15186

Prime Factorization of 15203

Now multiplying the highest exponent prime factors to calculate the LCM of 15186 and 15203.

LCM(15186,15203) = 2¹ × 3¹ × 2531¹ × 23¹ × 661¹
LCM(15186,15203) = 230872758