What is the Least Common Multiple of 12245 and 12254?

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 12245 and 12254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12245 and 12254, than apply into the LCM equation.

GCF(12245,12254) = 1
LCM(12245,12254) = ( 12245 × 12254) / 1
LCM(12245,12254) = 150050230 / 1
LCM(12245,12254) = 150050230

Least Common Multiple (LCM) of 12245 and 12254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12245 and 12254. First we will calculate the prime factors of 12245 and 12254.

Prime Factorization of 12245

Prime Factorization of 12254

Now multiplying the highest exponent prime factors to calculate the LCM of 12245 and 12254.

LCM(12245,12254) = 5¹ × 31¹ × 79¹ × 2¹ × 11¹ × 557¹
LCM(12245,12254) = 150050230