What is the Least Common Multiple of 13929 and 13938?
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 13929 and 13938 is 64714134.
LCM(13929,13938) = 64714134
Least Common Multiple of 13929 and 13938 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13929 and 13938, than apply into the LCM equation.
GCF(13929,13938) = 3
LCM(13929,13938) = ( 13929 × 13938) / 3
LCM(13929,13938) = 194142402 / 3
LCM(13929,13938) = 64714134
Least Common Multiple (LCM) of 13929 and 13938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13929 and 13938. First we will calculate the prime factors of 13929 and 13938.
Prime Factorization of 13929
Prime factors of 13929 are 3, 4643. Prime factorization of 13929 in exponential form is:
13929 = 31 × 46431
Prime Factorization of 13938
Prime factors of 13938 are 2, 3, 23, 101. Prime factorization of 13938 in exponential form is:
13938 = 21 × 31 × 231 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 13929 and 13938.
LCM(13929,13938) = 31 × 46431 × 21 × 231 × 1011
LCM(13929,13938) = 64714134
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