What is the Least Common Multiple of 12417 and 12423?

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 12417 and 12423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12417 and 12423, than apply into the LCM equation.

GCF(12417,12423) = 3
LCM(12417,12423) = ( 12417 × 12423) / 3
LCM(12417,12423) = 154256391 / 3
LCM(12417,12423) = 51418797

Least Common Multiple (LCM) of 12417 and 12423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12417 and 12423. First we will calculate the prime factors of 12417 and 12423.

Prime Factorization of 12417

Prime Factorization of 12423

Now multiplying the highest exponent prime factors to calculate the LCM of 12417 and 12423.

LCM(12417,12423) = 3¹ × 4139¹ × 41¹ × 101¹
LCM(12417,12423) = 51418797