What is the Least Common Multiple of 18453 and 18471?

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 18453 and 18471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18453 and 18471, than apply into the LCM equation.

GCF(18453,18471) = 3
LCM(18453,18471) = ( 18453 × 18471) / 3
LCM(18453,18471) = 340845363 / 3
LCM(18453,18471) = 113615121

Least Common Multiple (LCM) of 18453 and 18471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18453 and 18471. First we will calculate the prime factors of 18453 and 18471.

Prime Factorization of 18453

Prime Factorization of 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 18453 and 18471.

LCM(18453,18471) = 3¹ × 6151¹ × 47¹ × 131¹
LCM(18453,18471) = 113615121