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What is the Least Common Multiple of 13999 and 14006?

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 13999 and 14006 is 196069994.

LCM(13999,14006) = 196069994

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Least Common Multiple of 13999 and 14006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13999 and 14006, than apply into the LCM equation.

GCF(13999,14006) = 1
LCM(13999,14006) = ( 13999 × 14006) / 1
LCM(13999,14006) = 196069994 / 1
LCM(13999,14006) = 196069994

Least Common Multiple (LCM) of 13999 and 14006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13999 and 14006. First we will calculate the prime factors of 13999 and 14006.

Prime Factorization of 13999

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

13999 = 139991

Prime Factorization of 14006

Prime factors of 14006 are 2, 47, 149. Prime factorization of 14006 in exponential form is:

14006 = 21 × 471 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 13999 and 14006.

LCM(13999,14006) = 139991 × 21 × 471 × 1491
LCM(13999,14006) = 196069994