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What is the Least Common Multiple of 93245 and 93251?

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 93245 and 93251 is 8695189495.

LCM(93245,93251) = 8695189495

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Least Common Multiple of 93245 and 93251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93245 and 93251, than apply into the LCM equation.

GCF(93245,93251) = 1
LCM(93245,93251) = ( 93245 × 93251) / 1
LCM(93245,93251) = 8695189495 / 1
LCM(93245,93251) = 8695189495

Least Common Multiple (LCM) of 93245 and 93251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93245 and 93251. First we will calculate the prime factors of 93245 and 93251.

Prime Factorization of 93245

Prime factors of 93245 are 5, 17, 1097. Prime factorization of 93245 in exponential form is:

93245 = 51 × 171 × 10971

Prime Factorization of 93251

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

93251 = 932511

Now multiplying the highest exponent prime factors to calculate the LCM of 93245 and 93251.

LCM(93245,93251) = 51 × 171 × 10971 × 932511
LCM(93245,93251) = 8695189495