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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 (LCM) of 11144 and 11164 is 31102904.

LCM(11144,11164) = 31102904

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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 factors of 11144 are 2, 7, 199. Prime factorization of 11144 in exponential form is:

11144 = 23 × 71 × 1991

Prime Factorization of 11164

Prime factors of 11164 are 2, 2791. Prime factorization of 11164 in exponential form is:

11164 = 22 × 27911

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