What is the Least Common Multiple of 9643 and 9663?
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 9643 and 9663 is 93180309.
LCM(9643,9663) = 93180309
Least Common Multiple of 9643 and 9663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9643 and 9663, than apply into the LCM equation.
GCF(9643,9663) = 1
LCM(9643,9663) = ( 9643 × 9663) / 1
LCM(9643,9663) = 93180309 / 1
LCM(9643,9663) = 93180309
Least Common Multiple (LCM) of 9643 and 9663 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9643 and 9663. First we will calculate the prime factors of 9643 and 9663.
Prime Factorization of 9643
Prime factors of 9643 are 9643. Prime factorization of 9643 in exponential form is:
9643 = 96431
Prime Factorization of 9663
Prime factors of 9663 are 3, 3221. Prime factorization of 9663 in exponential form is:
9663 = 31 × 32211
Now multiplying the highest exponent prime factors to calculate the LCM of 9643 and 9663.
LCM(9643,9663) = 96431 × 31 × 32211
LCM(9643,9663) = 93180309
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