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What is the Least Common Multiple of 22622 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 22622 and 22637 is 512094214.

LCM(22622,22637) = 512094214

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Least Common Multiple of 22622 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 22622 and 22637, than apply into the LCM equation.

GCF(22622,22637) = 1
LCM(22622,22637) = ( 22622 × 22637) / 1
LCM(22622,22637) = 512094214 / 1
LCM(22622,22637) = 512094214

Least Common Multiple (LCM) of 22622 and 22637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22622 and 22637. First we will calculate the prime factors of 22622 and 22637.

Prime Factorization of 22622

Prime factors of 22622 are 2, 11311. Prime factorization of 22622 in exponential form is:

22622 = 21 × 113111

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 22622 and 22637.

LCM(22622,22637) = 21 × 113111 × 226371
LCM(22622,22637) = 512094214