What is the Least Common Multiple of 6830 and 6839?
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 6830 and 6839 is 46710370.
LCM(6830,6839) = 46710370
Least Common Multiple of 6830 and 6839 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6830 and 6839, than apply into the LCM equation.
GCF(6830,6839) = 1
LCM(6830,6839) = ( 6830 × 6839) / 1
LCM(6830,6839) = 46710370 / 1
LCM(6830,6839) = 46710370
Least Common Multiple (LCM) of 6830 and 6839 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6830 and 6839. First we will calculate the prime factors of 6830 and 6839.
Prime Factorization of 6830
Prime factors of 6830 are 2, 5, 683. Prime factorization of 6830 in exponential form is:
6830 = 21 × 51 × 6831
Prime Factorization of 6839
Prime factors of 6839 are 7, 977. Prime factorization of 6839 in exponential form is:
6839 = 71 × 9771
Now multiplying the highest exponent prime factors to calculate the LCM of 6830 and 6839.
LCM(6830,6839) = 21 × 51 × 6831 × 71 × 9771
LCM(6830,6839) = 46710370
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