What is the Least Common Multiple of 15054 and 15071?

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 15054 and 15071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15054 and 15071, than apply into the LCM equation.

GCF(15054,15071) = 1
LCM(15054,15071) = ( 15054 × 15071) / 1
LCM(15054,15071) = 226878834 / 1
LCM(15054,15071) = 226878834

Least Common Multiple (LCM) of 15054 and 15071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15054 and 15071. First we will calculate the prime factors of 15054 and 15071.

Prime Factorization of 15054

Prime Factorization of 15071

Now multiplying the highest exponent prime factors to calculate the LCM of 15054 and 15071.

LCM(15054,15071) = 2¹ × 3¹ × 13¹ × 193¹ × 7¹ × 2153¹
LCM(15054,15071) = 226878834