What is the Least Common Multiple of 13691 and 13700?
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 13691 and 13700 is 187566700.
LCM(13691,13700) = 187566700
Least Common Multiple of 13691 and 13700 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13691 and 13700, than apply into the LCM equation.
GCF(13691,13700) = 1
LCM(13691,13700) = ( 13691 × 13700) / 1
LCM(13691,13700) = 187566700 / 1
LCM(13691,13700) = 187566700
Least Common Multiple (LCM) of 13691 and 13700 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13691 and 13700. First we will calculate the prime factors of 13691 and 13700.
Prime Factorization of 13691
Prime factors of 13691 are 13691. Prime factorization of 13691 in exponential form is:
13691 = 136911
Prime Factorization of 13700
Prime factors of 13700 are 2, 5, 137. Prime factorization of 13700 in exponential form is:
13700 = 22 × 52 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 13691 and 13700.
LCM(13691,13700) = 136911 × 22 × 52 × 1371
LCM(13691,13700) = 187566700
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