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What is the Least Common Multiple of 92258 and 92263?

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 92258 and 92263 is 8511999854.

LCM(92258,92263) = 8511999854

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Least Common Multiple of 92258 and 92263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92258 and 92263, than apply into the LCM equation.

GCF(92258,92263) = 1
LCM(92258,92263) = ( 92258 × 92263) / 1
LCM(92258,92263) = 8511999854 / 1
LCM(92258,92263) = 8511999854

Least Common Multiple (LCM) of 92258 and 92263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92258 and 92263. First we will calculate the prime factors of 92258 and 92263.

Prime Factorization of 92258

Prime factors of 92258 are 2, 163, 283. Prime factorization of 92258 in exponential form is:

92258 = 21 × 1631 × 2831

Prime Factorization of 92263

Prime factors of 92263 are 257, 359. Prime factorization of 92263 in exponential form is:

92263 = 2571 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 92258 and 92263.

LCM(92258,92263) = 21 × 1631 × 2831 × 2571 × 3591
LCM(92258,92263) = 8511999854