What is the Least Common Multiple of 15718 and 15738?
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 15718 and 15738 is 123684942.
LCM(15718,15738) = 123684942
Least Common Multiple of 15718 and 15738 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15718 and 15738, than apply into the LCM equation.
GCF(15718,15738) = 2
LCM(15718,15738) = ( 15718 × 15738) / 2
LCM(15718,15738) = 247369884 / 2
LCM(15718,15738) = 123684942
Least Common Multiple (LCM) of 15718 and 15738 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15718 and 15738. First we will calculate the prime factors of 15718 and 15738.
Prime Factorization of 15718
Prime factors of 15718 are 2, 29, 271. Prime factorization of 15718 in exponential form is:
15718 = 21 × 291 × 2711
Prime Factorization of 15738
Prime factors of 15738 are 2, 3, 43, 61. Prime factorization of 15738 in exponential form is:
15738 = 21 × 31 × 431 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 15718 and 15738.
LCM(15718,15738) = 21 × 291 × 2711 × 31 × 431 × 611
LCM(15718,15738) = 123684942
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