What is the Least Common Multiple of 22110 and 22122?

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 22110 and 22122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22110 and 22122, than apply into the LCM equation.

GCF(22110,22122) = 6
LCM(22110,22122) = ( 22110 × 22122) / 6
LCM(22110,22122) = 489117420 / 6
LCM(22110,22122) = 81519570

Least Common Multiple (LCM) of 22110 and 22122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22110 and 22122. First we will calculate the prime factors of 22110 and 22122.

Prime Factorization of 22110

Prime Factorization of 22122

Now multiplying the highest exponent prime factors to calculate the LCM of 22110 and 22122.

LCM(22110,22122) = 2¹ × 3² × 5¹ × 11¹ × 67¹ × 1229¹
LCM(22110,22122) = 81519570