What is the Least Common Multiple of 9665 and 9676?
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 9665 and 9676 is 93518540.
LCM(9665,9676) = 93518540
Least Common Multiple of 9665 and 9676 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9665 and 9676, than apply into the LCM equation.
GCF(9665,9676) = 1
LCM(9665,9676) = ( 9665 × 9676) / 1
LCM(9665,9676) = 93518540 / 1
LCM(9665,9676) = 93518540
Least Common Multiple (LCM) of 9665 and 9676 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9665 and 9676. First we will calculate the prime factors of 9665 and 9676.
Prime Factorization of 9665
Prime factors of 9665 are 5, 1933. Prime factorization of 9665 in exponential form is:
9665 = 51 × 19331
Prime Factorization of 9676
Prime factors of 9676 are 2, 41, 59. Prime factorization of 9676 in exponential form is:
9676 = 22 × 411 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 9665 and 9676.
LCM(9665,9676) = 51 × 19331 × 22 × 411 × 591
LCM(9665,9676) = 93518540
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