What is the Least Common Multiple of 15710 and 15716?
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 15710 and 15716 is 123449180.
LCM(15710,15716) = 123449180
Least Common Multiple of 15710 and 15716 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15710 and 15716, than apply into the LCM equation.
GCF(15710,15716) = 2
LCM(15710,15716) = ( 15710 × 15716) / 2
LCM(15710,15716) = 246898360 / 2
LCM(15710,15716) = 123449180
Least Common Multiple (LCM) of 15710 and 15716 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15710 and 15716. First we will calculate the prime factors of 15710 and 15716.
Prime Factorization of 15710
Prime factors of 15710 are 2, 5, 1571. Prime factorization of 15710 in exponential form is:
15710 = 21 × 51 × 15711
Prime Factorization of 15716
Prime factors of 15716 are 2, 3929. Prime factorization of 15716 in exponential form is:
15716 = 22 × 39291
Now multiplying the highest exponent prime factors to calculate the LCM of 15710 and 15716.
LCM(15710,15716) = 22 × 51 × 15711 × 39291
LCM(15710,15716) = 123449180
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