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What is the Least Common Multiple of 22427 and 22445?

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 22427 and 22445 is 503374015.

LCM(22427,22445) = 503374015

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Least Common Multiple of 22427 and 22445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22427 and 22445, than apply into the LCM equation.

GCF(22427,22445) = 1
LCM(22427,22445) = ( 22427 × 22445) / 1
LCM(22427,22445) = 503374015 / 1
LCM(22427,22445) = 503374015

Least Common Multiple (LCM) of 22427 and 22445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22427 and 22445. First we will calculate the prime factors of 22427 and 22445.

Prime Factorization of 22427

Prime factors of 22427 are 41, 547. Prime factorization of 22427 in exponential form is:

22427 = 411 × 5471

Prime Factorization of 22445

Prime factors of 22445 are 5, 67. Prime factorization of 22445 in exponential form is:

22445 = 51 × 672

Now multiplying the highest exponent prime factors to calculate the LCM of 22427 and 22445.

LCM(22427,22445) = 411 × 5471 × 51 × 672
LCM(22427,22445) = 503374015