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What is the Least Common Multiple of 11290 and 11304?

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 11290 and 11304 is 63811080.

LCM(11290,11304) = 63811080

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Least Common Multiple of 11290 and 11304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11290 and 11304, than apply into the LCM equation.

GCF(11290,11304) = 2
LCM(11290,11304) = ( 11290 × 11304) / 2
LCM(11290,11304) = 127622160 / 2
LCM(11290,11304) = 63811080

Least Common Multiple (LCM) of 11290 and 11304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11290 and 11304. First we will calculate the prime factors of 11290 and 11304.

Prime Factorization of 11290

Prime factors of 11290 are 2, 5, 1129. Prime factorization of 11290 in exponential form is:

11290 = 21 × 51 × 11291

Prime Factorization of 11304

Prime factors of 11304 are 2, 3, 157. Prime factorization of 11304 in exponential form is:

11304 = 23 × 32 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 11290 and 11304.

LCM(11290,11304) = 23 × 51 × 11291 × 32 × 1571
LCM(11290,11304) = 63811080