What is the Least Common Multiple of 11180 and 11196?

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 11180 and 11196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11180 and 11196, than apply into the LCM equation.

GCF(11180,11196) = 4
LCM(11180,11196) = ( 11180 × 11196) / 4
LCM(11180,11196) = 125171280 / 4
LCM(11180,11196) = 31292820

Least Common Multiple (LCM) of 11180 and 11196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11180 and 11196. First we will calculate the prime factors of 11180 and 11196.

Prime Factorization of 11180

Prime Factorization of 11196

Now multiplying the highest exponent prime factors to calculate the LCM of 11180 and 11196.

LCM(11180,11196) = 2² × 5¹ × 13¹ × 43¹ × 3² × 311¹
LCM(11180,11196) = 31292820