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What is the Least Common Multiple of 9842 and 9861?

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 9842 and 9861 is 5107998.

LCM(9842,9861) = 5107998

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Least Common Multiple of 9842 and 9861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9842 and 9861, than apply into the LCM equation.

GCF(9842,9861) = 19
LCM(9842,9861) = ( 9842 × 9861) / 19
LCM(9842,9861) = 97051962 / 19
LCM(9842,9861) = 5107998

Least Common Multiple (LCM) of 9842 and 9861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9842 and 9861. First we will calculate the prime factors of 9842 and 9861.

Prime Factorization of 9842

Prime factors of 9842 are 2, 7, 19, 37. Prime factorization of 9842 in exponential form is:

9842 = 21 × 71 × 191 × 371

Prime Factorization of 9861

Prime factors of 9861 are 3, 19, 173. Prime factorization of 9861 in exponential form is:

9861 = 31 × 191 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 9842 and 9861.

LCM(9842,9861) = 21 × 71 × 191 × 371 × 31 × 1731
LCM(9842,9861) = 5107998