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What is the Least Common Multiple of 13756 and 13768?

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 13756 and 13768 is 47348152.

LCM(13756,13768) = 47348152

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Least Common Multiple of 13756 and 13768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13756 and 13768, than apply into the LCM equation.

GCF(13756,13768) = 4
LCM(13756,13768) = ( 13756 × 13768) / 4
LCM(13756,13768) = 189392608 / 4
LCM(13756,13768) = 47348152

Least Common Multiple (LCM) of 13756 and 13768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13756 and 13768. First we will calculate the prime factors of 13756 and 13768.

Prime Factorization of 13756

Prime factors of 13756 are 2, 19, 181. Prime factorization of 13756 in exponential form is:

13756 = 22 × 191 × 1811

Prime Factorization of 13768

Prime factors of 13768 are 2, 1721. Prime factorization of 13768 in exponential form is:

13768 = 23 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 13756 and 13768.

LCM(13756,13768) = 23 × 191 × 1811 × 17211
LCM(13756,13768) = 47348152