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What is the Least Common Multiple of 92825 and 92835?

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 92825 and 92835 is 1723481775.

LCM(92825,92835) = 1723481775

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Least Common Multiple of 92825 and 92835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92825 and 92835, than apply into the LCM equation.

GCF(92825,92835) = 5
LCM(92825,92835) = ( 92825 × 92835) / 5
LCM(92825,92835) = 8617408875 / 5
LCM(92825,92835) = 1723481775

Least Common Multiple (LCM) of 92825 and 92835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92825 and 92835. First we will calculate the prime factors of 92825 and 92835.

Prime Factorization of 92825

Prime factors of 92825 are 5, 47, 79. Prime factorization of 92825 in exponential form is:

92825 = 52 × 471 × 791

Prime Factorization of 92835

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

92835 = 32 × 51 × 20631

Now multiplying the highest exponent prime factors to calculate the LCM of 92825 and 92835.

LCM(92825,92835) = 52 × 471 × 791 × 32 × 20631
LCM(92825,92835) = 1723481775