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What is the Least Common Multiple of 5629 and 5638?

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 5629 and 5638 is 31736302.

LCM(5629,5638) = 31736302

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Least Common Multiple of 5629 and 5638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5629 and 5638, than apply into the LCM equation.

GCF(5629,5638) = 1
LCM(5629,5638) = ( 5629 × 5638) / 1
LCM(5629,5638) = 31736302 / 1
LCM(5629,5638) = 31736302

Least Common Multiple (LCM) of 5629 and 5638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5629 and 5638. First we will calculate the prime factors of 5629 and 5638.

Prime Factorization of 5629

Prime factors of 5629 are 13, 433. Prime factorization of 5629 in exponential form is:

5629 = 131 × 4331

Prime Factorization of 5638

Prime factors of 5638 are 2, 2819. Prime factorization of 5638 in exponential form is:

5638 = 21 × 28191

Now multiplying the highest exponent prime factors to calculate the LCM of 5629 and 5638.

LCM(5629,5638) = 131 × 4331 × 21 × 28191
LCM(5629,5638) = 31736302