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What is the Least Common Multiple of 93701 and 93721?

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 93701 and 93721 is 8781751421.

LCM(93701,93721) = 8781751421

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Least Common Multiple of 93701 and 93721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93701 and 93721, than apply into the LCM equation.

GCF(93701,93721) = 1
LCM(93701,93721) = ( 93701 × 93721) / 1
LCM(93701,93721) = 8781751421 / 1
LCM(93701,93721) = 8781751421

Least Common Multiple (LCM) of 93701 and 93721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93701 and 93721. First we will calculate the prime factors of 93701 and 93721.

Prime Factorization of 93701

Prime factors of 93701 are 93701. Prime factorization of 93701 in exponential form is:

93701 = 937011

Prime Factorization of 93721

Prime factors of 93721 are 17, 37, 149. Prime factorization of 93721 in exponential form is:

93721 = 171 × 371 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 93701 and 93721.

LCM(93701,93721) = 937011 × 171 × 371 × 1491
LCM(93701,93721) = 8781751421