What is the Least Common Multiple of 9835 and 9842?
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 9835 and 9842 is 13828010.
LCM(9835,9842) = 13828010
Least Common Multiple of 9835 and 9842 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9835 and 9842, than apply into the LCM equation.
GCF(9835,9842) = 7
LCM(9835,9842) = ( 9835 × 9842) / 7
LCM(9835,9842) = 96796070 / 7
LCM(9835,9842) = 13828010
Least Common Multiple (LCM) of 9835 and 9842 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9835 and 9842. First we will calculate the prime factors of 9835 and 9842.
Prime Factorization of 9835
Prime factors of 9835 are 5, 7, 281. Prime factorization of 9835 in exponential form is:
9835 = 51 × 71 × 2811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9835 and 9842.
LCM(9835,9842) = 51 × 71 × 2811 × 21 × 191 × 371
LCM(9835,9842) = 13828010
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