What is the Least Common Multiple of 96805 and 96814?
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 96805 and 96814 is 9372079270.
LCM(96805,96814) = 9372079270
Least Common Multiple of 96805 and 96814 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96805 and 96814, than apply into the LCM equation.
GCF(96805,96814) = 1
LCM(96805,96814) = ( 96805 × 96814) / 1
LCM(96805,96814) = 9372079270 / 1
LCM(96805,96814) = 9372079270
Least Common Multiple (LCM) of 96805 and 96814 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96805 and 96814. First we will calculate the prime factors of 96805 and 96814.
Prime Factorization of 96805
Prime factors of 96805 are 5, 19, 1019. Prime factorization of 96805 in exponential form is:
96805 = 51 × 191 × 10191
Prime Factorization of 96814
Prime factors of 96814 are 2, 48407. Prime factorization of 96814 in exponential form is:
96814 = 21 × 484071
Now multiplying the highest exponent prime factors to calculate the LCM of 96805 and 96814.
LCM(96805,96814) = 51 × 191 × 10191 × 21 × 484071
LCM(96805,96814) = 9372079270
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