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What is the Least Common Multiple of 22403 and 22413?

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 22403 and 22413 is 502118439.

LCM(22403,22413) = 502118439

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Least Common Multiple of 22403 and 22413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22403 and 22413, than apply into the LCM equation.

GCF(22403,22413) = 1
LCM(22403,22413) = ( 22403 × 22413) / 1
LCM(22403,22413) = 502118439 / 1
LCM(22403,22413) = 502118439

Least Common Multiple (LCM) of 22403 and 22413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22403 and 22413. First we will calculate the prime factors of 22403 and 22413.

Prime Factorization of 22403

Prime factors of 22403 are 43, 521. Prime factorization of 22403 in exponential form is:

22403 = 431 × 5211

Prime Factorization of 22413

Prime factors of 22413 are 3, 31, 241. Prime factorization of 22413 in exponential form is:

22413 = 31 × 311 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 22403 and 22413.

LCM(22403,22413) = 431 × 5211 × 31 × 311 × 2411
LCM(22403,22413) = 502118439