What is the Least Common Multiple of 11116 and 11128?

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 11116 and 11128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11116 and 11128, than apply into the LCM equation.

GCF(11116,11128) = 4
LCM(11116,11128) = ( 11116 × 11128) / 4
LCM(11116,11128) = 123698848 / 4
LCM(11116,11128) = 30924712

Least Common Multiple (LCM) of 11116 and 11128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11116 and 11128. First we will calculate the prime factors of 11116 and 11128.

Prime Factorization of 11116

Prime Factorization of 11128

Now multiplying the highest exponent prime factors to calculate the LCM of 11116 and 11128.

LCM(11116,11128) = 2³ × 7¹ × 397¹ × 13¹ × 107¹
LCM(11116,11128) = 30924712