What is the Least Common Multiple of 4839 and 4844?
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 4839 and 4844 is 23440116.
LCM(4839,4844) = 23440116
Least Common Multiple of 4839 and 4844 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4839 and 4844, than apply into the LCM equation.
GCF(4839,4844) = 1
LCM(4839,4844) = ( 4839 × 4844) / 1
LCM(4839,4844) = 23440116 / 1
LCM(4839,4844) = 23440116
Least Common Multiple (LCM) of 4839 and 4844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4839 and 4844. First we will calculate the prime factors of 4839 and 4844.
Prime Factorization of 4839
Prime factors of 4839 are 3, 1613. Prime factorization of 4839 in exponential form is:
4839 = 31 × 16131
Prime Factorization of 4844
Prime factors of 4844 are 2, 7, 173. Prime factorization of 4844 in exponential form is:
4844 = 22 × 71 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 4839 and 4844.
LCM(4839,4844) = 31 × 16131 × 22 × 71 × 1731
LCM(4839,4844) = 23440116
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