What is the Least Common Multiple of 22383 and 22387?
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 22383 and 22387 is 501088221.
LCM(22383,22387) = 501088221
Least Common Multiple of 22383 and 22387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22383 and 22387, than apply into the LCM equation.
GCF(22383,22387) = 1
LCM(22383,22387) = ( 22383 × 22387) / 1
LCM(22383,22387) = 501088221 / 1
LCM(22383,22387) = 501088221
Least Common Multiple (LCM) of 22383 and 22387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22383 and 22387. First we will calculate the prime factors of 22383 and 22387.
Prime Factorization of 22383
Prime factors of 22383 are 3, 829. Prime factorization of 22383 in exponential form is:
22383 = 33 × 8291
Prime Factorization of 22387
Prime factors of 22387 are 61, 367. Prime factorization of 22387 in exponential form is:
22387 = 611 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 22383 and 22387.
LCM(22383,22387) = 33 × 8291 × 611 × 3671
LCM(22383,22387) = 501088221
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