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What is the Least Common Multiple of 22627 and 22637?

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 22627 and 22637 is 512207399.

LCM(22627,22637) = 512207399

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Least Common Multiple of 22627 and 22637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22627 and 22637, than apply into the LCM equation.

GCF(22627,22637) = 1
LCM(22627,22637) = ( 22627 × 22637) / 1
LCM(22627,22637) = 512207399 / 1
LCM(22627,22637) = 512207399

Least Common Multiple (LCM) of 22627 and 22637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22627 and 22637. First we will calculate the prime factors of 22627 and 22637.

Prime Factorization of 22627

Prime factors of 22627 are 11, 17. Prime factorization of 22627 in exponential form is:

22627 = 113 × 171

Prime Factorization of 22637

Prime factors of 22637 are 22637. Prime factorization of 22637 in exponential form is:

22637 = 226371

Now multiplying the highest exponent prime factors to calculate the LCM of 22627 and 22637.

LCM(22627,22637) = 113 × 171 × 226371
LCM(22627,22637) = 512207399