What is the Least Common Multiple of 11178 and 11183?

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 11178 and 11183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11178 and 11183, than apply into the LCM equation.

GCF(11178,11183) = 1
LCM(11178,11183) = ( 11178 × 11183) / 1
LCM(11178,11183) = 125003574 / 1
LCM(11178,11183) = 125003574

Least Common Multiple (LCM) of 11178 and 11183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11178 and 11183. First we will calculate the prime factors of 11178 and 11183.

Prime Factorization of 11178

Prime Factorization of 11183

Now multiplying the highest exponent prime factors to calculate the LCM of 11178 and 11183.

LCM(11178,11183) = 2¹ × 3⁵ × 23¹ × 53¹ × 211¹
LCM(11178,11183) = 125003574