What is the Least Common Multiple of 9709 and 9719?
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 9709 and 9719 is 94361771.
LCM(9709,9719) = 94361771
Least Common Multiple of 9709 and 9719 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9709 and 9719, than apply into the LCM equation.
GCF(9709,9719) = 1
LCM(9709,9719) = ( 9709 × 9719) / 1
LCM(9709,9719) = 94361771 / 1
LCM(9709,9719) = 94361771
Least Common Multiple (LCM) of 9709 and 9719 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9709 and 9719. First we will calculate the prime factors of 9709 and 9719.
Prime Factorization of 9709
Prime factors of 9709 are 7, 19, 73. Prime factorization of 9709 in exponential form is:
9709 = 71 × 191 × 731
Prime Factorization of 9719
Prime factors of 9719 are 9719. Prime factorization of 9719 in exponential form is:
9719 = 97191
Now multiplying the highest exponent prime factors to calculate the LCM of 9709 and 9719.
LCM(9709,9719) = 71 × 191 × 731 × 97191
LCM(9709,9719) = 94361771
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