What is the Least Common Multiple of 12210 and 12229?

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 12210 and 12229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12210 and 12229, than apply into the LCM equation.

GCF(12210,12229) = 1
LCM(12210,12229) = ( 12210 × 12229) / 1
LCM(12210,12229) = 149316090 / 1
LCM(12210,12229) = 149316090

Least Common Multiple (LCM) of 12210 and 12229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12210 and 12229. First we will calculate the prime factors of 12210 and 12229.

Prime Factorization of 12210

Prime Factorization of 12229

Now multiplying the highest exponent prime factors to calculate the LCM of 12210 and 12229.

LCM(12210,12229) = 2¹ × 3¹ × 5¹ × 11¹ × 37¹ × 7¹ × 1747¹
LCM(12210,12229) = 149316090