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What is the Least Common Multiple of 93322 and 93338?

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 93322 and 93338 is 4355244418.

LCM(93322,93338) = 4355244418

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Least Common Multiple of 93322 and 93338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93322 and 93338, than apply into the LCM equation.

GCF(93322,93338) = 2
LCM(93322,93338) = ( 93322 × 93338) / 2
LCM(93322,93338) = 8710488836 / 2
LCM(93322,93338) = 4355244418

Least Common Multiple (LCM) of 93322 and 93338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93322 and 93338. First we will calculate the prime factors of 93322 and 93338.

Prime Factorization of 93322

Prime factors of 93322 are 2, 29, 1609. Prime factorization of 93322 in exponential form is:

93322 = 21 × 291 × 16091

Prime Factorization of 93338

Prime factors of 93338 are 2, 7, 59, 113. Prime factorization of 93338 in exponential form is:

93338 = 21 × 71 × 591 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 93322 and 93338.

LCM(93322,93338) = 21 × 291 × 16091 × 71 × 591 × 1131
LCM(93322,93338) = 4355244418