What is the Least Common Multiple of 12446 and 12457?

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 12446 and 12457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12446 and 12457, than apply into the LCM equation.

GCF(12446,12457) = 1
LCM(12446,12457) = ( 12446 × 12457) / 1
LCM(12446,12457) = 155039822 / 1
LCM(12446,12457) = 155039822

Least Common Multiple (LCM) of 12446 and 12457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12446 and 12457. First we will calculate the prime factors of 12446 and 12457.

Prime Factorization of 12446

Prime Factorization of 12457

Now multiplying the highest exponent prime factors to calculate the LCM of 12446 and 12457.

LCM(12446,12457) = 2¹ × 7² × 127¹ × 12457¹
LCM(12446,12457) = 155039822