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What is the Least Common Multiple of 15639 and 15654?

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 15639 and 15654 is 81604302.

LCM(15639,15654) = 81604302

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Least Common Multiple of 15639 and 15654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15639 and 15654, than apply into the LCM equation.

GCF(15639,15654) = 3
LCM(15639,15654) = ( 15639 × 15654) / 3
LCM(15639,15654) = 244812906 / 3
LCM(15639,15654) = 81604302

Least Common Multiple (LCM) of 15639 and 15654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15639 and 15654. First we will calculate the prime factors of 15639 and 15654.

Prime Factorization of 15639

Prime factors of 15639 are 3, 13, 401. Prime factorization of 15639 in exponential form is:

15639 = 31 × 131 × 4011

Prime Factorization of 15654

Prime factors of 15654 are 2, 3, 2609. Prime factorization of 15654 in exponential form is:

15654 = 21 × 31 × 26091

Now multiplying the highest exponent prime factors to calculate the LCM of 15639 and 15654.

LCM(15639,15654) = 31 × 131 × 4011 × 21 × 26091
LCM(15639,15654) = 81604302