What is the Least Common Multiple of 22212 and 22230?

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 22212 and 22230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22212 and 22230, than apply into the LCM equation.

GCF(22212,22230) = 18
LCM(22212,22230) = ( 22212 × 22230) / 18
LCM(22212,22230) = 493772760 / 18
LCM(22212,22230) = 27431820

Least Common Multiple (LCM) of 22212 and 22230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22212 and 22230. First we will calculate the prime factors of 22212 and 22230.

Prime Factorization of 22212

Prime Factorization of 22230

Now multiplying the highest exponent prime factors to calculate the LCM of 22212 and 22230.

LCM(22212,22230) = 2² × 3² × 617¹ × 5¹ × 13¹ × 19¹
LCM(22212,22230) = 27431820