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What is the Least Common Multiple of 11345 and 11360?

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 11345 and 11360 is 25775840.

LCM(11345,11360) = 25775840

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Least Common Multiple of 11345 and 11360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11345 and 11360, than apply into the LCM equation.

GCF(11345,11360) = 5
LCM(11345,11360) = ( 11345 × 11360) / 5
LCM(11345,11360) = 128879200 / 5
LCM(11345,11360) = 25775840

Least Common Multiple (LCM) of 11345 and 11360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11345 and 11360. First we will calculate the prime factors of 11345 and 11360.

Prime Factorization of 11345

Prime factors of 11345 are 5, 2269. Prime factorization of 11345 in exponential form is:

11345 = 51 × 22691

Prime Factorization of 11360

Prime factors of 11360 are 2, 5, 71. Prime factorization of 11360 in exponential form is:

11360 = 25 × 51 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 11345 and 11360.

LCM(11345,11360) = 51 × 22691 × 25 × 711
LCM(11345,11360) = 25775840