What is the Least Common Multiple of 9827 and 9846?
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 9827 and 9846 is 96756642.
LCM(9827,9846) = 96756642
Least Common Multiple of 9827 and 9846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9827 and 9846, than apply into the LCM equation.
GCF(9827,9846) = 1
LCM(9827,9846) = ( 9827 × 9846) / 1
LCM(9827,9846) = 96756642 / 1
LCM(9827,9846) = 96756642
Least Common Multiple (LCM) of 9827 and 9846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9827 and 9846. First we will calculate the prime factors of 9827 and 9846.
Prime Factorization of 9827
Prime factors of 9827 are 31, 317. Prime factorization of 9827 in exponential form is:
9827 = 311 × 3171
Prime Factorization of 9846
Prime factors of 9846 are 2, 3, 547. Prime factorization of 9846 in exponential form is:
9846 = 21 × 32 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 9827 and 9846.
LCM(9827,9846) = 311 × 3171 × 21 × 32 × 5471
LCM(9827,9846) = 96756642
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