What is the Least Common Multiple of 13738 and 13757?
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 13738 and 13757 is 188993666.
LCM(13738,13757) = 188993666
Least Common Multiple of 13738 and 13757 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13738 and 13757, than apply into the LCM equation.
GCF(13738,13757) = 1
LCM(13738,13757) = ( 13738 × 13757) / 1
LCM(13738,13757) = 188993666 / 1
LCM(13738,13757) = 188993666
Least Common Multiple (LCM) of 13738 and 13757 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13738 and 13757. First we will calculate the prime factors of 13738 and 13757.
Prime Factorization of 13738
Prime factors of 13738 are 2, 6869. Prime factorization of 13738 in exponential form is:
13738 = 21 × 68691
Prime Factorization of 13757
Prime factors of 13757 are 13757. Prime factorization of 13757 in exponential form is:
13757 = 137571
Now multiplying the highest exponent prime factors to calculate the LCM of 13738 and 13757.
LCM(13738,13757) = 21 × 68691 × 137571
LCM(13738,13757) = 188993666
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