What is the Least Common Multiple of 13718 and 13731?
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 13718 and 13731 is 188361858.
LCM(13718,13731) = 188361858
Least Common Multiple of 13718 and 13731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13718 and 13731, than apply into the LCM equation.
GCF(13718,13731) = 1
LCM(13718,13731) = ( 13718 × 13731) / 1
LCM(13718,13731) = 188361858 / 1
LCM(13718,13731) = 188361858
Least Common Multiple (LCM) of 13718 and 13731 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13718 and 13731. First we will calculate the prime factors of 13718 and 13731.
Prime Factorization of 13718
Prime factors of 13718 are 2, 19. Prime factorization of 13718 in exponential form is:
13718 = 21 × 193
Prime Factorization of 13731
Prime factors of 13731 are 3, 23, 199. Prime factorization of 13731 in exponential form is:
13731 = 31 × 231 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 13718 and 13731.
LCM(13718,13731) = 21 × 193 × 31 × 231 × 1991
LCM(13718,13731) = 188361858
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