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What is the Least Common Multiple of 93926 and 93943?

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 93926 and 93943 is 8823690218.

LCM(93926,93943) = 8823690218

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Least Common Multiple of 93926 and 93943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93926 and 93943, than apply into the LCM equation.

GCF(93926,93943) = 1
LCM(93926,93943) = ( 93926 × 93943) / 1
LCM(93926,93943) = 8823690218 / 1
LCM(93926,93943) = 8823690218

Least Common Multiple (LCM) of 93926 and 93943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93926 and 93943. First we will calculate the prime factors of 93926 and 93943.

Prime Factorization of 93926

Prime factors of 93926 are 2, 7, 6709. Prime factorization of 93926 in exponential form is:

93926 = 21 × 71 × 67091

Prime Factorization of 93943

Prime factors of 93943 are 37, 2539. Prime factorization of 93943 in exponential form is:

93943 = 371 × 25391

Now multiplying the highest exponent prime factors to calculate the LCM of 93926 and 93943.

LCM(93926,93943) = 21 × 71 × 67091 × 371 × 25391
LCM(93926,93943) = 8823690218