What is the Least Common Multiple of 9859 and 9865?
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 9859 and 9865 is 97259035.
LCM(9859,9865) = 97259035
Least Common Multiple of 9859 and 9865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9859 and 9865, than apply into the LCM equation.
GCF(9859,9865) = 1
LCM(9859,9865) = ( 9859 × 9865) / 1
LCM(9859,9865) = 97259035 / 1
LCM(9859,9865) = 97259035
Least Common Multiple (LCM) of 9859 and 9865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9859 and 9865. First we will calculate the prime factors of 9859 and 9865.
Prime Factorization of 9859
Prime factors of 9859 are 9859. Prime factorization of 9859 in exponential form is:
9859 = 98591
Prime Factorization of 9865
Prime factors of 9865 are 5, 1973. Prime factorization of 9865 in exponential form is:
9865 = 51 × 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 9859 and 9865.
LCM(9859,9865) = 98591 × 51 × 19731
LCM(9859,9865) = 97259035
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