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What is the Least Common Multiple of 17639 and 17654?

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 17639 and 17654 is 311398906.

LCM(17639,17654) = 311398906

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Least Common Multiple of 17639 and 17654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17639 and 17654, than apply into the LCM equation.

GCF(17639,17654) = 1
LCM(17639,17654) = ( 17639 × 17654) / 1
LCM(17639,17654) = 311398906 / 1
LCM(17639,17654) = 311398906

Least Common Multiple (LCM) of 17639 and 17654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17639 and 17654. First we will calculate the prime factors of 17639 and 17654.

Prime Factorization of 17639

Prime factors of 17639 are 31, 569. Prime factorization of 17639 in exponential form is:

17639 = 311 × 5691

Prime Factorization of 17654

Prime factors of 17654 are 2, 7, 13, 97. Prime factorization of 17654 in exponential form is:

17654 = 21 × 71 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 17639 and 17654.

LCM(17639,17654) = 311 × 5691 × 21 × 71 × 131 × 971
LCM(17639,17654) = 311398906