What is the Least Common Multiple of 96655 and 96663?
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 96655 and 96663 is 9342962265.
LCM(96655,96663) = 9342962265
Least Common Multiple of 96655 and 96663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96655 and 96663, than apply into the LCM equation.
GCF(96655,96663) = 1
LCM(96655,96663) = ( 96655 × 96663) / 1
LCM(96655,96663) = 9342962265 / 1
LCM(96655,96663) = 9342962265
Least Common Multiple (LCM) of 96655 and 96663 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96655 and 96663. First we will calculate the prime factors of 96655 and 96663.
Prime Factorization of 96655
Prime factors of 96655 are 5, 13, 1487. Prime factorization of 96655 in exponential form is:
96655 = 51 × 131 × 14871
Prime Factorization of 96663
Prime factors of 96663 are 3, 7, 4603. Prime factorization of 96663 in exponential form is:
96663 = 31 × 71 × 46031
Now multiplying the highest exponent prime factors to calculate the LCM of 96655 and 96663.
LCM(96655,96663) = 51 × 131 × 14871 × 31 × 71 × 46031
LCM(96655,96663) = 9342962265
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