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What is the Least Common Multiple of 13561 and 13580?

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 13561 and 13580 is 184158380.

LCM(13561,13580) = 184158380

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Least Common Multiple of 13561 and 13580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13561 and 13580, than apply into the LCM equation.

GCF(13561,13580) = 1
LCM(13561,13580) = ( 13561 × 13580) / 1
LCM(13561,13580) = 184158380 / 1
LCM(13561,13580) = 184158380

Least Common Multiple (LCM) of 13561 and 13580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13561 and 13580. First we will calculate the prime factors of 13561 and 13580.

Prime Factorization of 13561

Prime factors of 13561 are 71, 191. Prime factorization of 13561 in exponential form is:

13561 = 711 × 1911

Prime Factorization of 13580

Prime factors of 13580 are 2, 5, 7, 97. Prime factorization of 13580 in exponential form is:

13580 = 22 × 51 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 13561 and 13580.

LCM(13561,13580) = 711 × 1911 × 22 × 51 × 71 × 971
LCM(13561,13580) = 184158380