What is the Least Common Multiple of 9711 and 9728?
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 9711 and 9728 is 94468608.
LCM(9711,9728) = 94468608
Least Common Multiple of 9711 and 9728 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9711 and 9728, than apply into the LCM equation.
GCF(9711,9728) = 1
LCM(9711,9728) = ( 9711 × 9728) / 1
LCM(9711,9728) = 94468608 / 1
LCM(9711,9728) = 94468608
Least Common Multiple (LCM) of 9711 and 9728 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9711 and 9728. First we will calculate the prime factors of 9711 and 9728.
Prime Factorization of 9711
Prime factors of 9711 are 3, 13, 83. Prime factorization of 9711 in exponential form is:
9711 = 32 × 131 × 831
Prime Factorization of 9728
Prime factors of 9728 are 2, 19. Prime factorization of 9728 in exponential form is:
9728 = 29 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 9711 and 9728.
LCM(9711,9728) = 32 × 131 × 831 × 29 × 191
LCM(9711,9728) = 94468608
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