What is the Least Common Multiple of 96597 and 96602?
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 96597 and 96602 is 9331463394.
LCM(96597,96602) = 9331463394
Least Common Multiple of 96597 and 96602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96597 and 96602, than apply into the LCM equation.
GCF(96597,96602) = 1
LCM(96597,96602) = ( 96597 × 96602) / 1
LCM(96597,96602) = 9331463394 / 1
LCM(96597,96602) = 9331463394
Least Common Multiple (LCM) of 96597 and 96602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96597 and 96602. First we will calculate the prime factors of 96597 and 96602.
Prime Factorization of 96597
Prime factors of 96597 are 3, 10733. Prime factorization of 96597 in exponential form is:
96597 = 32 × 107331
Prime Factorization of 96602
Prime factors of 96602 are 2, 11, 4391. Prime factorization of 96602 in exponential form is:
96602 = 21 × 111 × 43911
Now multiplying the highest exponent prime factors to calculate the LCM of 96597 and 96602.
LCM(96597,96602) = 32 × 107331 × 21 × 111 × 43911
LCM(96597,96602) = 9331463394
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