What is the Least Common Multiple of 12218 and 12237?

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 12218 and 12237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12218 and 12237, than apply into the LCM equation.

GCF(12218,12237) = 1
LCM(12218,12237) = ( 12218 × 12237) / 1
LCM(12218,12237) = 149511666 / 1
LCM(12218,12237) = 149511666

Least Common Multiple (LCM) of 12218 and 12237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12218 and 12237. First we will calculate the prime factors of 12218 and 12237.

Prime Factorization of 12218

Prime Factorization of 12237

Now multiplying the highest exponent prime factors to calculate the LCM of 12218 and 12237.

LCM(12218,12237) = 2¹ × 41¹ × 149¹ × 3¹ × 4079¹
LCM(12218,12237) = 149511666