What is the Least Common Multiple of 9719 and 9734?
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 9719 and 9734 is 94604746.
LCM(9719,9734) = 94604746
Least Common Multiple of 9719 and 9734 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9719 and 9734, than apply into the LCM equation.
GCF(9719,9734) = 1
LCM(9719,9734) = ( 9719 × 9734) / 1
LCM(9719,9734) = 94604746 / 1
LCM(9719,9734) = 94604746
Least Common Multiple (LCM) of 9719 and 9734 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9719 and 9734. First we will calculate the prime factors of 9719 and 9734.
Prime Factorization of 9719
Prime factors of 9719 are 9719. Prime factorization of 9719 in exponential form is:
9719 = 97191
Prime Factorization of 9734
Prime factors of 9734 are 2, 31, 157. Prime factorization of 9734 in exponential form is:
9734 = 21 × 311 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 9719 and 9734.
LCM(9719,9734) = 97191 × 21 × 311 × 1571
LCM(9719,9734) = 94604746
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