What is the Least Common Multiple of 12409 and 12427?

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 12409 and 12427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12409 and 12427, than apply into the LCM equation.

GCF(12409,12427) = 1
LCM(12409,12427) = ( 12409 × 12427) / 1
LCM(12409,12427) = 154206643 / 1
LCM(12409,12427) = 154206643

Least Common Multiple (LCM) of 12409 and 12427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12409 and 12427. First we will calculate the prime factors of 12409 and 12427.

Prime Factorization of 12409

Prime Factorization of 12427

Now multiplying the highest exponent prime factors to calculate the LCM of 12409 and 12427.

LCM(12409,12427) = 12409¹ × 17² × 43¹
LCM(12409,12427) = 154206643