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What is the Least Common Multiple of 92565 and 92585?

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 92565 and 92585 is 1714026105.

LCM(92565,92585) = 1714026105

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Least Common Multiple of 92565 and 92585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92565 and 92585, than apply into the LCM equation.

GCF(92565,92585) = 5
LCM(92565,92585) = ( 92565 × 92585) / 5
LCM(92565,92585) = 8570130525 / 5
LCM(92565,92585) = 1714026105

Least Common Multiple (LCM) of 92565 and 92585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92565 and 92585. First we will calculate the prime factors of 92565 and 92585.

Prime Factorization of 92565

Prime factors of 92565 are 3, 5, 11, 17. Prime factorization of 92565 in exponential form is:

92565 = 32 × 51 × 112 × 171

Prime Factorization of 92585

Prime factors of 92585 are 5, 18517. Prime factorization of 92585 in exponential form is:

92585 = 51 × 185171

Now multiplying the highest exponent prime factors to calculate the LCM of 92565 and 92585.

LCM(92565,92585) = 32 × 51 × 112 × 171 × 185171
LCM(92565,92585) = 1714026105