What is the Least Common Multiple of 15710 and 15727?
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 15727 is 247071170.
LCM(15710,15727) = 247071170
Least Common Multiple of 15710 and 15727 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 15727, than apply into the LCM equation.
GCF(15710,15727) = 1
LCM(15710,15727) = ( 15710 × 15727) / 1
LCM(15710,15727) = 247071170 / 1
LCM(15710,15727) = 247071170
Least Common Multiple (LCM) of 15710 and 15727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15710 and 15727. First we will calculate the prime factors of 15710 and 15727.
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 15727
Prime factors of 15727 are 15727. Prime factorization of 15727 in exponential form is:
15727 = 157271
Now multiplying the highest exponent prime factors to calculate the LCM of 15710 and 15727.
LCM(15710,15727) = 21 × 51 × 15711 × 157271
LCM(15710,15727) = 247071170
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