What is the Least Common Multiple of 13687 and 13694?
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 13687 and 13694 is 187429778.
LCM(13687,13694) = 187429778
Least Common Multiple of 13687 and 13694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13687 and 13694, than apply into the LCM equation.
GCF(13687,13694) = 1
LCM(13687,13694) = ( 13687 × 13694) / 1
LCM(13687,13694) = 187429778 / 1
LCM(13687,13694) = 187429778
Least Common Multiple (LCM) of 13687 and 13694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13687 and 13694. First we will calculate the prime factors of 13687 and 13694.
Prime Factorization of 13687
Prime factors of 13687 are 13687. Prime factorization of 13687 in exponential form is:
13687 = 136871
Prime Factorization of 13694
Prime factors of 13694 are 2, 41, 167. Prime factorization of 13694 in exponential form is:
13694 = 21 × 411 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 13687 and 13694.
LCM(13687,13694) = 136871 × 21 × 411 × 1671
LCM(13687,13694) = 187429778
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