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What is the Least Common Multiple of 13716 and 13733?

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 13716 and 13733 is 188361828.

LCM(13716,13733) = 188361828

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Least Common Multiple of 13716 and 13733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13716 and 13733, than apply into the LCM equation.

GCF(13716,13733) = 1
LCM(13716,13733) = ( 13716 × 13733) / 1
LCM(13716,13733) = 188361828 / 1
LCM(13716,13733) = 188361828

Least Common Multiple (LCM) of 13716 and 13733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13716 and 13733. First we will calculate the prime factors of 13716 and 13733.

Prime Factorization of 13716

Prime factors of 13716 are 2, 3, 127. Prime factorization of 13716 in exponential form is:

13716 = 22 × 33 × 1271

Prime Factorization of 13733

Prime factors of 13733 are 31, 443. Prime factorization of 13733 in exponential form is:

13733 = 311 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 13716 and 13733.

LCM(13716,13733) = 22 × 33 × 1271 × 311 × 4431
LCM(13716,13733) = 188361828