What is the Least Common Multiple of 12210 and 12230?

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 12230 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 12230, than apply into the LCM equation.

GCF(12210,12230) = 10
LCM(12210,12230) = ( 12210 × 12230) / 10
LCM(12210,12230) = 149328300 / 10
LCM(12210,12230) = 14932830

Least Common Multiple (LCM) of 12210 and 12230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12210 and 12230. First we will calculate the prime factors of 12210 and 12230.

Prime Factorization of 12210

Prime Factorization of 12230

Now multiplying the highest exponent prime factors to calculate the LCM of 12210 and 12230.

LCM(12210,12230) = 2¹ × 3¹ × 5¹ × 11¹ × 37¹ × 1223¹
LCM(12210,12230) = 14932830