What is the Least Common Multiple of 13683 and 13693?
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 13683 and 13693 is 187361319.
LCM(13683,13693) = 187361319
Least Common Multiple of 13683 and 13693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13683 and 13693, than apply into the LCM equation.
GCF(13683,13693) = 1
LCM(13683,13693) = ( 13683 × 13693) / 1
LCM(13683,13693) = 187361319 / 1
LCM(13683,13693) = 187361319
Least Common Multiple (LCM) of 13683 and 13693 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13683 and 13693. First we will calculate the prime factors of 13683 and 13693.
Prime Factorization of 13683
Prime factors of 13683 are 3, 4561. Prime factorization of 13683 in exponential form is:
13683 = 31 × 45611
Prime Factorization of 13693
Prime factors of 13693 are 13693. Prime factorization of 13693 in exponential form is:
13693 = 136931
Now multiplying the highest exponent prime factors to calculate the LCM of 13683 and 13693.
LCM(13683,13693) = 31 × 45611 × 136931
LCM(13683,13693) = 187361319
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