What is the Least Common Multiple of 13814 and 13821?
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 13814 and 13821 is 190923294.
LCM(13814,13821) = 190923294
Least Common Multiple of 13814 and 13821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13814 and 13821, than apply into the LCM equation.
GCF(13814,13821) = 1
LCM(13814,13821) = ( 13814 × 13821) / 1
LCM(13814,13821) = 190923294 / 1
LCM(13814,13821) = 190923294
Least Common Multiple (LCM) of 13814 and 13821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13814 and 13821. First we will calculate the prime factors of 13814 and 13821.
Prime Factorization of 13814
Prime factors of 13814 are 2, 6907. Prime factorization of 13814 in exponential form is:
13814 = 21 × 69071
Prime Factorization of 13821
Prime factors of 13821 are 3, 17, 271. Prime factorization of 13821 in exponential form is:
13821 = 31 × 171 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 13814 and 13821.
LCM(13814,13821) = 21 × 69071 × 31 × 171 × 2711
LCM(13814,13821) = 190923294
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