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What is the Least Common Multiple of 93276 and 93282?

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 93276 and 93282 is 1450161972.

LCM(93276,93282) = 1450161972

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Least Common Multiple of 93276 and 93282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93276 and 93282, than apply into the LCM equation.

GCF(93276,93282) = 6
LCM(93276,93282) = ( 93276 × 93282) / 6
LCM(93276,93282) = 8700971832 / 6
LCM(93276,93282) = 1450161972

Least Common Multiple (LCM) of 93276 and 93282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93276 and 93282. First we will calculate the prime factors of 93276 and 93282.

Prime Factorization of 93276

Prime factors of 93276 are 2, 3, 2591. Prime factorization of 93276 in exponential form is:

93276 = 22 × 32 × 25911

Prime Factorization of 93282

Prime factors of 93282 are 2, 3, 7, 2221. Prime factorization of 93282 in exponential form is:

93282 = 21 × 31 × 71 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 93276 and 93282.

LCM(93276,93282) = 22 × 32 × 25911 × 71 × 22211
LCM(93276,93282) = 1450161972