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What is the Least Common Multiple of 93251 and 93260?

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 93251 and 93260 is 8696588260.

LCM(93251,93260) = 8696588260

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Least Common Multiple of 93251 and 93260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93251 and 93260, than apply into the LCM equation.

GCF(93251,93260) = 1
LCM(93251,93260) = ( 93251 × 93260) / 1
LCM(93251,93260) = 8696588260 / 1
LCM(93251,93260) = 8696588260

Least Common Multiple (LCM) of 93251 and 93260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93251 and 93260. First we will calculate the prime factors of 93251 and 93260.

Prime Factorization of 93251

Prime factors of 93251 are 93251. Prime factorization of 93251 in exponential form is:

93251 = 932511

Prime Factorization of 93260

Prime factors of 93260 are 2, 5, 4663. Prime factorization of 93260 in exponential form is:

93260 = 22 × 51 × 46631

Now multiplying the highest exponent prime factors to calculate the LCM of 93251 and 93260.

LCM(93251,93260) = 932511 × 22 × 51 × 46631
LCM(93251,93260) = 8696588260