What is the Least Common Multiple of 12458 and 12469?

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 12458 and 12469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12458 and 12469, than apply into the LCM equation.

GCF(12458,12469) = 1
LCM(12458,12469) = ( 12458 × 12469) / 1
LCM(12458,12469) = 155338802 / 1
LCM(12458,12469) = 155338802

Least Common Multiple (LCM) of 12458 and 12469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12458 and 12469. First we will calculate the prime factors of 12458 and 12469.

Prime Factorization of 12458

Prime Factorization of 12469

Now multiplying the highest exponent prime factors to calculate the LCM of 12458 and 12469.

LCM(12458,12469) = 2¹ × 6229¹ × 37¹ × 337¹
LCM(12458,12469) = 155338802