What is the Least Common Multiple of 24247 and 24267?
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 24247 and 24267 is 588401949.
LCM(24247,24267) = 588401949
Least Common Multiple of 24247 and 24267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24247 and 24267, than apply into the LCM equation.
GCF(24247,24267) = 1
LCM(24247,24267) = ( 24247 × 24267) / 1
LCM(24247,24267) = 588401949 / 1
LCM(24247,24267) = 588401949
Least Common Multiple (LCM) of 24247 and 24267 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24247 and 24267. First we will calculate the prime factors of 24247 and 24267.
Prime Factorization of 24247
Prime factors of 24247 are 24247. Prime factorization of 24247 in exponential form is:
24247 = 242471
Prime Factorization of 24267
Prime factors of 24267 are 3, 8089. Prime factorization of 24267 in exponential form is:
24267 = 31 × 80891
Now multiplying the highest exponent prime factors to calculate the LCM of 24247 and 24267.
LCM(24247,24267) = 242471 × 31 × 80891
LCM(24247,24267) = 588401949
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