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What is the Least Common Multiple of 93938 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 93938 and 93943 is 8824817534.

LCM(93938,93943) = 8824817534

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Least Common Multiple of 93938 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 93938 and 93943, than apply into the LCM equation.

GCF(93938,93943) = 1
LCM(93938,93943) = ( 93938 × 93943) / 1
LCM(93938,93943) = 8824817534 / 1
LCM(93938,93943) = 8824817534

Least Common Multiple (LCM) of 93938 and 93943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93938 and 93943. First we will calculate the prime factors of 93938 and 93943.

Prime Factorization of 93938

Prime factors of 93938 are 2, 13, 3613. Prime factorization of 93938 in exponential form is:

93938 = 21 × 131 × 36131

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 93938 and 93943.

LCM(93938,93943) = 21 × 131 × 36131 × 371 × 25391
LCM(93938,93943) = 8824817534