What is the Least Common Multiple of 22336 and 22343?
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 22336 and 22343 is 499053248.
LCM(22336,22343) = 499053248
Least Common Multiple of 22336 and 22343 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22336 and 22343, than apply into the LCM equation.
GCF(22336,22343) = 1
LCM(22336,22343) = ( 22336 × 22343) / 1
LCM(22336,22343) = 499053248 / 1
LCM(22336,22343) = 499053248
Least Common Multiple (LCM) of 22336 and 22343 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22336 and 22343. First we will calculate the prime factors of 22336 and 22343.
Prime Factorization of 22336
Prime factors of 22336 are 2, 349. Prime factorization of 22336 in exponential form is:
22336 = 26 × 3491
Prime Factorization of 22343
Prime factors of 22343 are 22343. Prime factorization of 22343 in exponential form is:
22343 = 223431
Now multiplying the highest exponent prime factors to calculate the LCM of 22336 and 22343.
LCM(22336,22343) = 26 × 3491 × 223431
LCM(22336,22343) = 499053248
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