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What is the Least Common Multiple of 93226 and 93234?

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 93226 and 93234 is 4345916442.

LCM(93226,93234) = 4345916442

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Least Common Multiple of 93226 and 93234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93226 and 93234, than apply into the LCM equation.

GCF(93226,93234) = 2
LCM(93226,93234) = ( 93226 × 93234) / 2
LCM(93226,93234) = 8691832884 / 2
LCM(93226,93234) = 4345916442

Least Common Multiple (LCM) of 93226 and 93234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93226 and 93234. First we will calculate the prime factors of 93226 and 93234.

Prime Factorization of 93226

Prime factors of 93226 are 2, 7, 6659. Prime factorization of 93226 in exponential form is:

93226 = 21 × 71 × 66591

Prime Factorization of 93234

Prime factors of 93234 are 2, 3, 41, 379. Prime factorization of 93234 in exponential form is:

93234 = 21 × 31 × 411 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 93226 and 93234.

LCM(93226,93234) = 21 × 71 × 66591 × 31 × 411 × 3791
LCM(93226,93234) = 4345916442