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What is the Least Common Multiple of 13956 and 13976?

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 13956 and 13976 is 48762264.

LCM(13956,13976) = 48762264

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Least Common Multiple of 13956 and 13976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13956 and 13976, than apply into the LCM equation.

GCF(13956,13976) = 4
LCM(13956,13976) = ( 13956 × 13976) / 4
LCM(13956,13976) = 195049056 / 4
LCM(13956,13976) = 48762264

Least Common Multiple (LCM) of 13956 and 13976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13956 and 13976. First we will calculate the prime factors of 13956 and 13976.

Prime Factorization of 13956

Prime factors of 13956 are 2, 3, 1163. Prime factorization of 13956 in exponential form is:

13956 = 22 × 31 × 11631

Prime Factorization of 13976

Prime factors of 13976 are 2, 1747. Prime factorization of 13976 in exponential form is:

13976 = 23 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 13956 and 13976.

LCM(13956,13976) = 23 × 31 × 11631 × 17471
LCM(13956,13976) = 48762264