What is the Least Common Multiple of 22110 and 22130?

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 22130 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 22130, than apply into the LCM equation.

GCF(22110,22130) = 10
LCM(22110,22130) = ( 22110 × 22130) / 10
LCM(22110,22130) = 489294300 / 10
LCM(22110,22130) = 48929430

Least Common Multiple (LCM) of 22110 and 22130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22110 and 22130. First we will calculate the prime factors of 22110 and 22130.

Prime Factorization of 22110

Prime Factorization of 22130

Now multiplying the highest exponent prime factors to calculate the LCM of 22110 and 22130.

LCM(22110,22130) = 2¹ × 3¹ × 5¹ × 11¹ × 67¹ × 2213¹
LCM(22110,22130) = 48929430