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What is the Least Common Multiple of 93494 and 93500?

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 93494 and 93500 is 4370844500.

LCM(93494,93500) = 4370844500

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Least Common Multiple of 93494 and 93500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93494 and 93500, than apply into the LCM equation.

GCF(93494,93500) = 2
LCM(93494,93500) = ( 93494 × 93500) / 2
LCM(93494,93500) = 8741689000 / 2
LCM(93494,93500) = 4370844500

Least Common Multiple (LCM) of 93494 and 93500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93494 and 93500. First we will calculate the prime factors of 93494 and 93500.

Prime Factorization of 93494

Prime factors of 93494 are 2, 46747. Prime factorization of 93494 in exponential form is:

93494 = 21 × 467471

Prime Factorization of 93500

Prime factors of 93500 are 2, 5, 11, 17. Prime factorization of 93500 in exponential form is:

93500 = 22 × 53 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 93494 and 93500.

LCM(93494,93500) = 22 × 467471 × 53 × 111 × 171
LCM(93494,93500) = 4370844500