What is the Least Common Multiple of 22100 and 22112?

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 22100 and 22112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22100 and 22112, than apply into the LCM equation.

GCF(22100,22112) = 4
LCM(22100,22112) = ( 22100 × 22112) / 4
LCM(22100,22112) = 488675200 / 4
LCM(22100,22112) = 122168800

Least Common Multiple (LCM) of 22100 and 22112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22100 and 22112. First we will calculate the prime factors of 22100 and 22112.

Prime Factorization of 22100

Prime Factorization of 22112

Now multiplying the highest exponent prime factors to calculate the LCM of 22100 and 22112.

LCM(22100,22112) = 2⁵ × 5² × 13¹ × 17¹ × 691¹
LCM(22100,22112) = 122168800