What is the Least Common Multiple of 24847 and 24855?
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 24847 and 24855 is 617572185.
LCM(24847,24855) = 617572185
Least Common Multiple of 24847 and 24855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24847 and 24855, than apply into the LCM equation.
GCF(24847,24855) = 1
LCM(24847,24855) = ( 24847 × 24855) / 1
LCM(24847,24855) = 617572185 / 1
LCM(24847,24855) = 617572185
Least Common Multiple (LCM) of 24847 and 24855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24847 and 24855. First we will calculate the prime factors of 24847 and 24855.
Prime Factorization of 24847
Prime factors of 24847 are 24847. Prime factorization of 24847 in exponential form is:
24847 = 248471
Prime Factorization of 24855
Prime factors of 24855 are 3, 5, 1657. Prime factorization of 24855 in exponential form is:
24855 = 31 × 51 × 16571
Now multiplying the highest exponent prime factors to calculate the LCM of 24847 and 24855.
LCM(24847,24855) = 248471 × 31 × 51 × 16571
LCM(24847,24855) = 617572185
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