What is the Least Common Multiple of 11144 and 11164?

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 11144 and 11164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11144 and 11164, than apply into the LCM equation.

GCF(11144,11164) = 4
LCM(11144,11164) = ( 11144 × 11164) / 4
LCM(11144,11164) = 124411616 / 4
LCM(11144,11164) = 31102904

Least Common Multiple (LCM) of 11144 and 11164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11144 and 11164. First we will calculate the prime factors of 11144 and 11164.

Prime Factorization of 11144

Prime Factorization of 11164

Now multiplying the highest exponent prime factors to calculate the LCM of 11144 and 11164.

LCM(11144,11164) = 2³ × 7¹ × 199¹ × 2791¹
LCM(11144,11164) = 31102904