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What is the Least Common Multiple of 92535 and 92545?

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 92535 and 92545 is 1712730315.

LCM(92535,92545) = 1712730315

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Least Common Multiple of 92535 and 92545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92535 and 92545, than apply into the LCM equation.

GCF(92535,92545) = 5
LCM(92535,92545) = ( 92535 × 92545) / 5
LCM(92535,92545) = 8563651575 / 5
LCM(92535,92545) = 1712730315

Least Common Multiple (LCM) of 92535 and 92545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92535 and 92545. First we will calculate the prime factors of 92535 and 92545.

Prime Factorization of 92535

Prime factors of 92535 are 3, 5, 31, 199. Prime factorization of 92535 in exponential form is:

92535 = 31 × 51 × 311 × 1991

Prime Factorization of 92545

Prime factors of 92545 are 5, 83, 223. Prime factorization of 92545 in exponential form is:

92545 = 51 × 831 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 92535 and 92545.

LCM(92535,92545) = 31 × 51 × 311 × 1991 × 831 × 2231
LCM(92535,92545) = 1712730315