What is the Least Common Multiple of 12100 and 12116?

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 12100 and 12116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12100 and 12116, than apply into the LCM equation.

GCF(12100,12116) = 4
LCM(12100,12116) = ( 12100 × 12116) / 4
LCM(12100,12116) = 146603600 / 4
LCM(12100,12116) = 36650900

Least Common Multiple (LCM) of 12100 and 12116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12100 and 12116. First we will calculate the prime factors of 12100 and 12116.

Prime Factorization of 12100

Prime Factorization of 12116

Now multiplying the highest exponent prime factors to calculate the LCM of 12100 and 12116.

LCM(12100,12116) = 2² × 5² × 11² × 13¹ × 233¹
LCM(12100,12116) = 36650900