What is the Least Common Multiple of 11100 and 11112?

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 11100 and 11112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11100 and 11112, than apply into the LCM equation.

GCF(11100,11112) = 12
LCM(11100,11112) = ( 11100 × 11112) / 12
LCM(11100,11112) = 123343200 / 12
LCM(11100,11112) = 10278600

Least Common Multiple (LCM) of 11100 and 11112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11100 and 11112. First we will calculate the prime factors of 11100 and 11112.

Prime Factorization of 11100

Prime Factorization of 11112

Now multiplying the highest exponent prime factors to calculate the LCM of 11100 and 11112.

LCM(11100,11112) = 2³ × 3¹ × 5² × 37¹ × 463¹
LCM(11100,11112) = 10278600