What is the Least Common Multiple of 13714 and 13733?
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 13714 and 13733 is 188334362.
LCM(13714,13733) = 188334362
Least Common Multiple of 13714 and 13733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13714 and 13733, than apply into the LCM equation.
GCF(13714,13733) = 1
LCM(13714,13733) = ( 13714 × 13733) / 1
LCM(13714,13733) = 188334362 / 1
LCM(13714,13733) = 188334362
Least Common Multiple (LCM) of 13714 and 13733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13714 and 13733. First we will calculate the prime factors of 13714 and 13733.
Prime Factorization of 13714
Prime factors of 13714 are 2, 6857. Prime factorization of 13714 in exponential form is:
13714 = 21 × 68571
Prime Factorization of 13733
Prime factors of 13733 are 31, 443. Prime factorization of 13733 in exponential form is:
13733 = 311 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 13714 and 13733.
LCM(13714,13733) = 21 × 68571 × 311 × 4431
LCM(13714,13733) = 188334362
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