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What is the Least Common Multiple of 9849 and 9858?

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 9849 and 9858 is 32363814.

LCM(9849,9858) = 32363814

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Least Common Multiple of 9849 and 9858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9849 and 9858, than apply into the LCM equation.

GCF(9849,9858) = 3
LCM(9849,9858) = ( 9849 × 9858) / 3
LCM(9849,9858) = 97091442 / 3
LCM(9849,9858) = 32363814

Least Common Multiple (LCM) of 9849 and 9858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9849 and 9858. First we will calculate the prime factors of 9849 and 9858.

Prime Factorization of 9849

Prime factors of 9849 are 3, 7, 67. Prime factorization of 9849 in exponential form is:

9849 = 31 × 72 × 671

Prime Factorization of 9858

Prime factors of 9858 are 2, 3, 31, 53. Prime factorization of 9858 in exponential form is:

9858 = 21 × 31 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 9849 and 9858.

LCM(9849,9858) = 31 × 72 × 671 × 21 × 311 × 531
LCM(9849,9858) = 32363814