What is the Least Common Multiple of 22293 and 22298?
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 22293 and 22298 is 497089314.
LCM(22293,22298) = 497089314
Least Common Multiple of 22293 and 22298 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22293 and 22298, than apply into the LCM equation.
GCF(22293,22298) = 1
LCM(22293,22298) = ( 22293 × 22298) / 1
LCM(22293,22298) = 497089314 / 1
LCM(22293,22298) = 497089314
Least Common Multiple (LCM) of 22293 and 22298 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22293 and 22298. First we will calculate the prime factors of 22293 and 22298.
Prime Factorization of 22293
Prime factors of 22293 are 3, 2477. Prime factorization of 22293 in exponential form is:
22293 = 32 × 24771
Prime Factorization of 22298
Prime factors of 22298 are 2, 11149. Prime factorization of 22298 in exponential form is:
22298 = 21 × 111491
Now multiplying the highest exponent prime factors to calculate the LCM of 22293 and 22298.
LCM(22293,22298) = 32 × 24771 × 21 × 111491
LCM(22293,22298) = 497089314
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