What is the Least Common Multiple of 9695 and 9703?
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 9695 and 9703 is 94070585.
LCM(9695,9703) = 94070585
Least Common Multiple of 9695 and 9703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9695 and 9703, than apply into the LCM equation.
GCF(9695,9703) = 1
LCM(9695,9703) = ( 9695 × 9703) / 1
LCM(9695,9703) = 94070585 / 1
LCM(9695,9703) = 94070585
Least Common Multiple (LCM) of 9695 and 9703 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9695 and 9703. First we will calculate the prime factors of 9695 and 9703.
Prime Factorization of 9695
Prime factors of 9695 are 5, 7, 277. Prime factorization of 9695 in exponential form is:
9695 = 51 × 71 × 2771
Prime Factorization of 9703
Prime factors of 9703 are 31, 313. Prime factorization of 9703 in exponential form is:
9703 = 311 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 9695 and 9703.
LCM(9695,9703) = 51 × 71 × 2771 × 311 × 3131
LCM(9695,9703) = 94070585
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