What is the Least Common Multiple of 48847 and 48855?
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 48847 and 48855 is 2386420185.
LCM(48847,48855) = 2386420185
Least Common Multiple of 48847 and 48855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48847 and 48855, than apply into the LCM equation.
GCF(48847,48855) = 1
LCM(48847,48855) = ( 48847 × 48855) / 1
LCM(48847,48855) = 2386420185 / 1
LCM(48847,48855) = 2386420185
Least Common Multiple (LCM) of 48847 and 48855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48847 and 48855. First we will calculate the prime factors of 48847 and 48855.
Prime Factorization of 48847
Prime factors of 48847 are 48847. Prime factorization of 48847 in exponential form is:
48847 = 488471
Prime Factorization of 48855
Prime factors of 48855 are 3, 5, 3257. Prime factorization of 48855 in exponential form is:
48855 = 31 × 51 × 32571
Now multiplying the highest exponent prime factors to calculate the LCM of 48847 and 48855.
LCM(48847,48855) = 488471 × 31 × 51 × 32571
LCM(48847,48855) = 2386420185
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