What is the Least Common Multiple of 24193 and 24199?
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 24193 and 24199 is 585446407.
LCM(24193,24199) = 585446407
Least Common Multiple of 24193 and 24199 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24193 and 24199, than apply into the LCM equation.
GCF(24193,24199) = 1
LCM(24193,24199) = ( 24193 × 24199) / 1
LCM(24193,24199) = 585446407 / 1
LCM(24193,24199) = 585446407
Least Common Multiple (LCM) of 24193 and 24199 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24193 and 24199. First we will calculate the prime factors of 24193 and 24199.
Prime Factorization of 24193
Prime factors of 24193 are 13, 1861. Prime factorization of 24193 in exponential form is:
24193 = 131 × 18611
Prime Factorization of 24199
Prime factors of 24199 are 7, 3457. Prime factorization of 24199 in exponential form is:
24199 = 71 × 34571
Now multiplying the highest exponent prime factors to calculate the LCM of 24193 and 24199.
LCM(24193,24199) = 131 × 18611 × 71 × 34571
LCM(24193,24199) = 585446407
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