What is the Least Common Multiple of 48842 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 48842 and 48855 is 2386175910.
LCM(48842,48855) = 2386175910
Least Common Multiple of 48842 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 48842 and 48855, than apply into the LCM equation.
GCF(48842,48855) = 1
LCM(48842,48855) = ( 48842 × 48855) / 1
LCM(48842,48855) = 2386175910 / 1
LCM(48842,48855) = 2386175910
Least Common Multiple (LCM) of 48842 and 48855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48842 and 48855. First we will calculate the prime factors of 48842 and 48855.
Prime Factorization of 48842
Prime factors of 48842 are 2, 24421. Prime factorization of 48842 in exponential form is:
48842 = 21 × 244211
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 48842 and 48855.
LCM(48842,48855) = 21 × 244211 × 31 × 51 × 32571
LCM(48842,48855) = 2386175910
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