What is the Least Common Multiple of 4833 and 4850?
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 4833 and 4850 is 23440050.
LCM(4833,4850) = 23440050
Least Common Multiple of 4833 and 4850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4833 and 4850, than apply into the LCM equation.
GCF(4833,4850) = 1
LCM(4833,4850) = ( 4833 × 4850) / 1
LCM(4833,4850) = 23440050 / 1
LCM(4833,4850) = 23440050
Least Common Multiple (LCM) of 4833 and 4850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4833 and 4850. First we will calculate the prime factors of 4833 and 4850.
Prime Factorization of 4833
Prime factors of 4833 are 3, 179. Prime factorization of 4833 in exponential form is:
4833 = 33 × 1791
Prime Factorization of 4850
Prime factors of 4850 are 2, 5, 97. Prime factorization of 4850 in exponential form is:
4850 = 21 × 52 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 4833 and 4850.
LCM(4833,4850) = 33 × 1791 × 21 × 52 × 971
LCM(4833,4850) = 23440050
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