What is the Least Common Multiple of 11112 and 11117?

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 11112 and 11117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11112 and 11117, than apply into the LCM equation.

GCF(11112,11117) = 1
LCM(11112,11117) = ( 11112 × 11117) / 1
LCM(11112,11117) = 123532104 / 1
LCM(11112,11117) = 123532104

Least Common Multiple (LCM) of 11112 and 11117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11112 and 11117. First we will calculate the prime factors of 11112 and 11117.

Prime Factorization of 11112

Prime Factorization of 11117

Now multiplying the highest exponent prime factors to calculate the LCM of 11112 and 11117.

LCM(11112,11117) = 2³ × 3¹ × 463¹ × 11117¹
LCM(11112,11117) = 123532104