What is the Least Common Multiple of 14843 and 14853?
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 14843 and 14853 is 220463079.
LCM(14843,14853) = 220463079
Least Common Multiple of 14843 and 14853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14843 and 14853, than apply into the LCM equation.
GCF(14843,14853) = 1
LCM(14843,14853) = ( 14843 × 14853) / 1
LCM(14843,14853) = 220463079 / 1
LCM(14843,14853) = 220463079
Least Common Multiple (LCM) of 14843 and 14853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14843 and 14853. First we will calculate the prime factors of 14843 and 14853.
Prime Factorization of 14843
Prime factors of 14843 are 14843. Prime factorization of 14843 in exponential form is:
14843 = 148431
Prime Factorization of 14853
Prime factors of 14853 are 3, 4951. Prime factorization of 14853 in exponential form is:
14853 = 31 × 49511
Now multiplying the highest exponent prime factors to calculate the LCM of 14843 and 14853.
LCM(14843,14853) = 148431 × 31 × 49511
LCM(14843,14853) = 220463079
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