What is the Least Common Multiple of 96603 and 96607?
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 96603 and 96607 is 9332526021.
LCM(96603,96607) = 9332526021
Least Common Multiple of 96603 and 96607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96603 and 96607, than apply into the LCM equation.
GCF(96603,96607) = 1
LCM(96603,96607) = ( 96603 × 96607) / 1
LCM(96603,96607) = 9332526021 / 1
LCM(96603,96607) = 9332526021
Least Common Multiple (LCM) of 96603 and 96607 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96603 and 96607. First we will calculate the prime factors of 96603 and 96607.
Prime Factorization of 96603
Prime factors of 96603 are 3, 13, 2477. Prime factorization of 96603 in exponential form is:
96603 = 31 × 131 × 24771
Prime Factorization of 96607
Prime factors of 96607 are 7, 37, 373. Prime factorization of 96607 in exponential form is:
96607 = 71 × 371 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 96603 and 96607.
LCM(96603,96607) = 31 × 131 × 24771 × 71 × 371 × 3731
LCM(96603,96607) = 9332526021
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