What is the Least Common Multiple of 12457 and 12467?

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 12457 and 12467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12457 and 12467, than apply into the LCM equation.

GCF(12457,12467) = 1
LCM(12457,12467) = ( 12457 × 12467) / 1
LCM(12457,12467) = 155301419 / 1
LCM(12457,12467) = 155301419

Least Common Multiple (LCM) of 12457 and 12467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12457 and 12467. First we will calculate the prime factors of 12457 and 12467.

Prime Factorization of 12457

Prime Factorization of 12467

Now multiplying the highest exponent prime factors to calculate the LCM of 12457 and 12467.

LCM(12457,12467) = 12457¹ × 7¹ × 13¹ × 137¹
LCM(12457,12467) = 155301419