What is the Least Common Multiple of 15143 and 15147?

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 15143 and 15147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15143 and 15147, than apply into the LCM equation.

GCF(15143,15147) = 1
LCM(15143,15147) = ( 15143 × 15147) / 1
LCM(15143,15147) = 229371021 / 1
LCM(15143,15147) = 229371021

Least Common Multiple (LCM) of 15143 and 15147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15143 and 15147. First we will calculate the prime factors of 15143 and 15147.

Prime Factorization of 15143

Prime Factorization of 15147

Now multiplying the highest exponent prime factors to calculate the LCM of 15143 and 15147.

LCM(15143,15147) = 19¹ × 797¹ × 3⁴ × 11¹ × 17¹
LCM(15143,15147) = 229371021