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What is the Least Common Multiple of 13536 and 13550?

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 13536 and 13550 is 91706400.

LCM(13536,13550) = 91706400

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Least Common Multiple of 13536 and 13550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13536 and 13550, than apply into the LCM equation.

GCF(13536,13550) = 2
LCM(13536,13550) = ( 13536 × 13550) / 2
LCM(13536,13550) = 183412800 / 2
LCM(13536,13550) = 91706400

Least Common Multiple (LCM) of 13536 and 13550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13536 and 13550. First we will calculate the prime factors of 13536 and 13550.

Prime Factorization of 13536

Prime factors of 13536 are 2, 3, 47. Prime factorization of 13536 in exponential form is:

13536 = 25 × 32 × 471

Prime Factorization of 13550

Prime factors of 13550 are 2, 5, 271. Prime factorization of 13550 in exponential form is:

13550 = 21 × 52 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 13536 and 13550.

LCM(13536,13550) = 25 × 32 × 471 × 52 × 2711
LCM(13536,13550) = 91706400