What is the Least Common Multiple of 48883 and 48903?
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 48883 and 48903 is 2390525349.
LCM(48883,48903) = 2390525349
Least Common Multiple of 48883 and 48903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48883 and 48903, than apply into the LCM equation.
GCF(48883,48903) = 1
LCM(48883,48903) = ( 48883 × 48903) / 1
LCM(48883,48903) = 2390525349 / 1
LCM(48883,48903) = 2390525349
Least Common Multiple (LCM) of 48883 and 48903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48883 and 48903. First we will calculate the prime factors of 48883 and 48903.
Prime Factorization of 48883
Prime factors of 48883 are 48883. Prime factorization of 48883 in exponential form is:
48883 = 488831
Prime Factorization of 48903
Prime factors of 48903 are 3, 16301. Prime factorization of 48903 in exponential form is:
48903 = 31 × 163011
Now multiplying the highest exponent prime factors to calculate the LCM of 48883 and 48903.
LCM(48883,48903) = 488831 × 31 × 163011
LCM(48883,48903) = 2390525349
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