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What is the Least Common Multiple of 92825 and 92831?

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 92831 is 8617037575.

LCM(92825,92831) = 8617037575

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Least Common Multiple of 92825 and 92831 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 92831, than apply into the LCM equation.

GCF(92825,92831) = 1
LCM(92825,92831) = ( 92825 × 92831) / 1
LCM(92825,92831) = 8617037575 / 1
LCM(92825,92831) = 8617037575

Least Common Multiple (LCM) of 92825 and 92831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92825 and 92831. First we will calculate the prime factors of 92825 and 92831.

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 92831

Prime factors of 92831 are 92831. Prime factorization of 92831 in exponential form is:

92831 = 928311

Now multiplying the highest exponent prime factors to calculate the LCM of 92825 and 92831.

LCM(92825,92831) = 52 × 471 × 791 × 928311
LCM(92825,92831) = 8617037575