What is the Least Common Multiple of 48833 and 48850?
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 48833 and 48850 is 2385492050.
LCM(48833,48850) = 2385492050
Least Common Multiple of 48833 and 48850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48833 and 48850, than apply into the LCM equation.
GCF(48833,48850) = 1
LCM(48833,48850) = ( 48833 × 48850) / 1
LCM(48833,48850) = 2385492050 / 1
LCM(48833,48850) = 2385492050
Least Common Multiple (LCM) of 48833 and 48850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48833 and 48850. First we will calculate the prime factors of 48833 and 48850.
Prime Factorization of 48833
Prime factors of 48833 are 47, 1039. Prime factorization of 48833 in exponential form is:
48833 = 471 × 10391
Prime Factorization of 48850
Prime factors of 48850 are 2, 5, 977. Prime factorization of 48850 in exponential form is:
48850 = 21 × 52 × 9771
Now multiplying the highest exponent prime factors to calculate the LCM of 48833 and 48850.
LCM(48833,48850) = 471 × 10391 × 21 × 52 × 9771
LCM(48833,48850) = 2385492050
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