What is the Least Common Multiple of 96605 and 96611?
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 96605 and 96611 is 9333105655.
LCM(96605,96611) = 9333105655
Least Common Multiple of 96605 and 96611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96605 and 96611, than apply into the LCM equation.
GCF(96605,96611) = 1
LCM(96605,96611) = ( 96605 × 96611) / 1
LCM(96605,96611) = 9333105655 / 1
LCM(96605,96611) = 9333105655
Least Common Multiple (LCM) of 96605 and 96611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96605 and 96611. First we will calculate the prime factors of 96605 and 96611.
Prime Factorization of 96605
Prime factors of 96605 are 5, 139. Prime factorization of 96605 in exponential form is:
96605 = 51 × 1392
Prime Factorization of 96611
Prime factors of 96611 are 17, 5683. Prime factorization of 96611 in exponential form is:
96611 = 171 × 56831
Now multiplying the highest exponent prime factors to calculate the LCM of 96605 and 96611.
LCM(96605,96611) = 51 × 1392 × 171 × 56831
LCM(96605,96611) = 9333105655
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