What is the Least Common Multiple of 4833 and 4851?
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 4851 is 2604987.
LCM(4833,4851) = 2604987
Least Common Multiple of 4833 and 4851 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 4851, than apply into the LCM equation.
GCF(4833,4851) = 9
LCM(4833,4851) = ( 4833 × 4851) / 9
LCM(4833,4851) = 23444883 / 9
LCM(4833,4851) = 2604987
Least Common Multiple (LCM) of 4833 and 4851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4833 and 4851. First we will calculate the prime factors of 4833 and 4851.
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 4851
Prime factors of 4851 are 3, 7, 11. Prime factorization of 4851 in exponential form is:
4851 = 32 × 72 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 4833 and 4851.
LCM(4833,4851) = 33 × 1791 × 72 × 111
LCM(4833,4851) = 2604987
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