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What is the Least Common Multiple of 92835 and 92854?

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 92835 and 92854 is 8620101090.

LCM(92835,92854) = 8620101090

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Least Common Multiple of 92835 and 92854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92835 and 92854, than apply into the LCM equation.

GCF(92835,92854) = 1
LCM(92835,92854) = ( 92835 × 92854) / 1
LCM(92835,92854) = 8620101090 / 1
LCM(92835,92854) = 8620101090

Least Common Multiple (LCM) of 92835 and 92854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92835 and 92854. First we will calculate the prime factors of 92835 and 92854.

Prime Factorization of 92835

Prime factors of 92835 are 3, 5, 2063. Prime factorization of 92835 in exponential form is:

92835 = 32 × 51 × 20631

Prime Factorization of 92854

Prime factors of 92854 are 2, 17, 2731. Prime factorization of 92854 in exponential form is:

92854 = 21 × 171 × 27311

Now multiplying the highest exponent prime factors to calculate the LCM of 92835 and 92854.

LCM(92835,92854) = 32 × 51 × 20631 × 21 × 171 × 27311
LCM(92835,92854) = 8620101090