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What is the Least Common Multiple of 93794 and 93808?

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 93794 and 93808 is 4399313776.

LCM(93794,93808) = 4399313776

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Least Common Multiple of 93794 and 93808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93794 and 93808, than apply into the LCM equation.

GCF(93794,93808) = 2
LCM(93794,93808) = ( 93794 × 93808) / 2
LCM(93794,93808) = 8798627552 / 2
LCM(93794,93808) = 4399313776

Least Common Multiple (LCM) of 93794 and 93808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93794 and 93808. First we will calculate the prime factors of 93794 and 93808.

Prime Factorization of 93794

Prime factors of 93794 are 2, 23, 2039. Prime factorization of 93794 in exponential form is:

93794 = 21 × 231 × 20391

Prime Factorization of 93808

Prime factors of 93808 are 2, 11, 13, 41. Prime factorization of 93808 in exponential form is:

93808 = 24 × 111 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 93794 and 93808.

LCM(93794,93808) = 24 × 231 × 20391 × 111 × 131 × 411
LCM(93794,93808) = 4399313776