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What is the Least Common Multiple of 13622 and 13638?

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 13622 and 13638 is 92888418.

LCM(13622,13638) = 92888418

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Least Common Multiple of 13622 and 13638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13622 and 13638, than apply into the LCM equation.

GCF(13622,13638) = 2
LCM(13622,13638) = ( 13622 × 13638) / 2
LCM(13622,13638) = 185776836 / 2
LCM(13622,13638) = 92888418

Least Common Multiple (LCM) of 13622 and 13638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13622 and 13638. First we will calculate the prime factors of 13622 and 13638.

Prime Factorization of 13622

Prime factors of 13622 are 2, 7, 139. Prime factorization of 13622 in exponential form is:

13622 = 21 × 72 × 1391

Prime Factorization of 13638

Prime factors of 13638 are 2, 3, 2273. Prime factorization of 13638 in exponential form is:

13638 = 21 × 31 × 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 13622 and 13638.

LCM(13622,13638) = 21 × 72 × 1391 × 31 × 22731
LCM(13622,13638) = 92888418