What is the Least Common Multiple of 24281 and 24286?
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 24281 and 24286 is 589688366.
LCM(24281,24286) = 589688366
Least Common Multiple of 24281 and 24286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24281 and 24286, than apply into the LCM equation.
GCF(24281,24286) = 1
LCM(24281,24286) = ( 24281 × 24286) / 1
LCM(24281,24286) = 589688366 / 1
LCM(24281,24286) = 589688366
Least Common Multiple (LCM) of 24281 and 24286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24281 and 24286. First we will calculate the prime factors of 24281 and 24286.
Prime Factorization of 24281
Prime factors of 24281 are 24281. Prime factorization of 24281 in exponential form is:
24281 = 242811
Prime Factorization of 24286
Prime factors of 24286 are 2, 12143. Prime factorization of 24286 in exponential form is:
24286 = 21 × 121431
Now multiplying the highest exponent prime factors to calculate the LCM of 24281 and 24286.
LCM(24281,24286) = 242811 × 21 × 121431
LCM(24281,24286) = 589688366
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