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What is the Least Common Multiple of 9849 and 9860?

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 9860 is 97111140.

LCM(9849,9860) = 97111140

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Least Common Multiple of 9849 and 9860 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 9860, than apply into the LCM equation.

GCF(9849,9860) = 1
LCM(9849,9860) = ( 9849 × 9860) / 1
LCM(9849,9860) = 97111140 / 1
LCM(9849,9860) = 97111140

Least Common Multiple (LCM) of 9849 and 9860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9849 and 9860. First we will calculate the prime factors of 9849 and 9860.

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 9860

Prime factors of 9860 are 2, 5, 17, 29. Prime factorization of 9860 in exponential form is:

9860 = 22 × 51 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 9849 and 9860.

LCM(9849,9860) = 31 × 72 × 671 × 22 × 51 × 171 × 291
LCM(9849,9860) = 97111140