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What is the Least Common Multiple of 13992 and 13999?

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 13992 and 13999 is 195874008.

LCM(13992,13999) = 195874008

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Least Common Multiple of 13992 and 13999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13992 and 13999, than apply into the LCM equation.

GCF(13992,13999) = 1
LCM(13992,13999) = ( 13992 × 13999) / 1
LCM(13992,13999) = 195874008 / 1
LCM(13992,13999) = 195874008

Least Common Multiple (LCM) of 13992 and 13999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13992 and 13999. First we will calculate the prime factors of 13992 and 13999.

Prime Factorization of 13992

Prime factors of 13992 are 2, 3, 11, 53. Prime factorization of 13992 in exponential form is:

13992 = 23 × 31 × 111 × 531

Prime Factorization of 13999

Prime factors of 13999 are 13999. Prime factorization of 13999 in exponential form is:

13999 = 139991

Now multiplying the highest exponent prime factors to calculate the LCM of 13992 and 13999.

LCM(13992,13999) = 23 × 31 × 111 × 531 × 139991
LCM(13992,13999) = 195874008