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What is the Least Common Multiple of 11545 and 11560?

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 11545 and 11560 is 26692040.

LCM(11545,11560) = 26692040

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Least Common Multiple of 11545 and 11560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11545 and 11560, than apply into the LCM equation.

GCF(11545,11560) = 5
LCM(11545,11560) = ( 11545 × 11560) / 5
LCM(11545,11560) = 133460200 / 5
LCM(11545,11560) = 26692040

Least Common Multiple (LCM) of 11545 and 11560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11545 and 11560. First we will calculate the prime factors of 11545 and 11560.

Prime Factorization of 11545

Prime factors of 11545 are 5, 2309. Prime factorization of 11545 in exponential form is:

11545 = 51 × 23091

Prime Factorization of 11560

Prime factors of 11560 are 2, 5, 17. Prime factorization of 11560 in exponential form is:

11560 = 23 × 51 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 11545 and 11560.

LCM(11545,11560) = 51 × 23091 × 23 × 172
LCM(11545,11560) = 26692040