What is the Least Common Multiple of 96507 and 96517?
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 96507 and 96517 is 9314566119.
LCM(96507,96517) = 9314566119
Least Common Multiple of 96507 and 96517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96507 and 96517, than apply into the LCM equation.
GCF(96507,96517) = 1
LCM(96507,96517) = ( 96507 × 96517) / 1
LCM(96507,96517) = 9314566119 / 1
LCM(96507,96517) = 9314566119
Least Common Multiple (LCM) of 96507 and 96517 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96507 and 96517. First we will calculate the prime factors of 96507 and 96517.
Prime Factorization of 96507
Prime factors of 96507 are 3, 10723. Prime factorization of 96507 in exponential form is:
96507 = 32 × 107231
Prime Factorization of 96517
Prime factors of 96517 are 96517. Prime factorization of 96517 in exponential form is:
96517 = 965171
Now multiplying the highest exponent prime factors to calculate the LCM of 96507 and 96517.
LCM(96507,96517) = 32 × 107231 × 965171
LCM(96507,96517) = 9314566119
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