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What is the Least Common Multiple of 93029 and 93046?

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 93029 and 93046 is 8655976334.

LCM(93029,93046) = 8655976334

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Least Common Multiple of 93029 and 93046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93029 and 93046, than apply into the LCM equation.

GCF(93029,93046) = 1
LCM(93029,93046) = ( 93029 × 93046) / 1
LCM(93029,93046) = 8655976334 / 1
LCM(93029,93046) = 8655976334

Least Common Multiple (LCM) of 93029 and 93046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93029 and 93046. First we will calculate the prime factors of 93029 and 93046.

Prime Factorization of 93029

Prime factors of 93029 are 41, 2269. Prime factorization of 93029 in exponential form is:

93029 = 411 × 22691

Prime Factorization of 93046

Prime factors of 93046 are 2, 46523. Prime factorization of 93046 in exponential form is:

93046 = 21 × 465231

Now multiplying the highest exponent prime factors to calculate the LCM of 93029 and 93046.

LCM(93029,93046) = 411 × 22691 × 21 × 465231
LCM(93029,93046) = 8655976334