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What is the Least Common Multiple of 22607 and 22622?

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 22607 and 22622 is 511415554.

LCM(22607,22622) = 511415554

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Least Common Multiple of 22607 and 22622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22607 and 22622, than apply into the LCM equation.

GCF(22607,22622) = 1
LCM(22607,22622) = ( 22607 × 22622) / 1
LCM(22607,22622) = 511415554 / 1
LCM(22607,22622) = 511415554

Least Common Multiple (LCM) of 22607 and 22622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22607 and 22622. First we will calculate the prime factors of 22607 and 22622.

Prime Factorization of 22607

Prime factors of 22607 are 13, 37, 47. Prime factorization of 22607 in exponential form is:

22607 = 131 × 371 × 471

Prime Factorization of 22622

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

22622 = 21 × 113111

Now multiplying the highest exponent prime factors to calculate the LCM of 22607 and 22622.

LCM(22607,22622) = 131 × 371 × 471 × 21 × 113111
LCM(22607,22622) = 511415554