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What is the Least Common Multiple of 22427 and 22434?

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 22434 is 503127318.

LCM(22427,22434) = 503127318

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Least Common Multiple of 22427 and 22434 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 22434, than apply into the LCM equation.

GCF(22427,22434) = 1
LCM(22427,22434) = ( 22427 × 22434) / 1
LCM(22427,22434) = 503127318 / 1
LCM(22427,22434) = 503127318

Least Common Multiple (LCM) of 22427 and 22434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22427 and 22434. First we will calculate the prime factors of 22427 and 22434.

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 22434

Prime factors of 22434 are 2, 3, 3739. Prime factorization of 22434 in exponential form is:

22434 = 21 × 31 × 37391

Now multiplying the highest exponent prime factors to calculate the LCM of 22427 and 22434.

LCM(22427,22434) = 411 × 5471 × 21 × 31 × 37391
LCM(22427,22434) = 503127318