What is the Least Common Multiple of 94655 and 94659?
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 94655 and 94659 is 8959947645.
LCM(94655,94659) = 8959947645
Least Common Multiple of 94655 and 94659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94655 and 94659, than apply into the LCM equation.
GCF(94655,94659) = 1
LCM(94655,94659) = ( 94655 × 94659) / 1
LCM(94655,94659) = 8959947645 / 1
LCM(94655,94659) = 8959947645
Least Common Multiple (LCM) of 94655 and 94659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94655 and 94659. First we will calculate the prime factors of 94655 and 94659.
Prime Factorization of 94655
Prime factors of 94655 are 5, 11, 1721. Prime factorization of 94655 in exponential form is:
94655 = 51 × 111 × 17211
Prime Factorization of 94659
Prime factors of 94659 are 3, 139, 227. Prime factorization of 94659 in exponential form is:
94659 = 31 × 1391 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 94655 and 94659.
LCM(94655,94659) = 51 × 111 × 17211 × 31 × 1391 × 2271
LCM(94655,94659) = 8959947645
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