What is the Least Common Multiple of 14273 and 14277?
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 14273 and 14277 is 203775621.
LCM(14273,14277) = 203775621
Least Common Multiple of 14273 and 14277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14273 and 14277, than apply into the LCM equation.
GCF(14273,14277) = 1
LCM(14273,14277) = ( 14273 × 14277) / 1
LCM(14273,14277) = 203775621 / 1
LCM(14273,14277) = 203775621
Least Common Multiple (LCM) of 14273 and 14277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14273 and 14277. First we will calculate the prime factors of 14273 and 14277.
Prime Factorization of 14273
Prime factors of 14273 are 7, 2039. Prime factorization of 14273 in exponential form is:
14273 = 71 × 20391
Prime Factorization of 14277
Prime factors of 14277 are 3, 4759. Prime factorization of 14277 in exponential form is:
14277 = 31 × 47591
Now multiplying the highest exponent prime factors to calculate the LCM of 14273 and 14277.
LCM(14273,14277) = 71 × 20391 × 31 × 47591
LCM(14273,14277) = 203775621
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