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What is the Least Common Multiple of 11598 and 11616?

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 11598 and 11616 is 22453728.

LCM(11598,11616) = 22453728

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Least Common Multiple of 11598 and 11616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11598 and 11616, than apply into the LCM equation.

GCF(11598,11616) = 6
LCM(11598,11616) = ( 11598 × 11616) / 6
LCM(11598,11616) = 134722368 / 6
LCM(11598,11616) = 22453728

Least Common Multiple (LCM) of 11598 and 11616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11598 and 11616. First we will calculate the prime factors of 11598 and 11616.

Prime Factorization of 11598

Prime factors of 11598 are 2, 3, 1933. Prime factorization of 11598 in exponential form is:

11598 = 21 × 31 × 19331

Prime Factorization of 11616

Prime factors of 11616 are 2, 3, 11. Prime factorization of 11616 in exponential form is:

11616 = 25 × 31 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 11598 and 11616.

LCM(11598,11616) = 25 × 31 × 19331 × 112
LCM(11598,11616) = 22453728