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What is the Least Common Multiple of 22387 and 22403?

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 22387 and 22403 is 501535961.

LCM(22387,22403) = 501535961

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Least Common Multiple of 22387 and 22403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22387 and 22403, than apply into the LCM equation.

GCF(22387,22403) = 1
LCM(22387,22403) = ( 22387 × 22403) / 1
LCM(22387,22403) = 501535961 / 1
LCM(22387,22403) = 501535961

Least Common Multiple (LCM) of 22387 and 22403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22387 and 22403. First we will calculate the prime factors of 22387 and 22403.

Prime Factorization of 22387

Prime factors of 22387 are 61, 367. Prime factorization of 22387 in exponential form is:

22387 = 611 × 3671

Prime Factorization of 22403

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

22403 = 431 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 22387 and 22403.

LCM(22387,22403) = 611 × 3671 × 431 × 5211
LCM(22387,22403) = 501535961