What is the Least Common Multiple of 96619 and 96626?
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 96619 and 96626 is 9335907494.
LCM(96619,96626) = 9335907494
Least Common Multiple of 96619 and 96626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96619 and 96626, than apply into the LCM equation.
GCF(96619,96626) = 1
LCM(96619,96626) = ( 96619 × 96626) / 1
LCM(96619,96626) = 9335907494 / 1
LCM(96619,96626) = 9335907494
Least Common Multiple (LCM) of 96619 and 96626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96619 and 96626. First we will calculate the prime factors of 96619 and 96626.
Prime Factorization of 96619
Prime factors of 96619 are 53, 1823. Prime factorization of 96619 in exponential form is:
96619 = 531 × 18231
Prime Factorization of 96626
Prime factors of 96626 are 2, 48313. Prime factorization of 96626 in exponential form is:
96626 = 21 × 483131
Now multiplying the highest exponent prime factors to calculate the LCM of 96619 and 96626.
LCM(96619,96626) = 531 × 18231 × 21 × 483131
LCM(96619,96626) = 9335907494
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