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What is the Least Common Multiple of 93496 and 93505?

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 93496 and 93505 is 8742343480.

LCM(93496,93505) = 8742343480

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Least Common Multiple of 93496 and 93505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93496 and 93505, than apply into the LCM equation.

GCF(93496,93505) = 1
LCM(93496,93505) = ( 93496 × 93505) / 1
LCM(93496,93505) = 8742343480 / 1
LCM(93496,93505) = 8742343480

Least Common Multiple (LCM) of 93496 and 93505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93496 and 93505. First we will calculate the prime factors of 93496 and 93505.

Prime Factorization of 93496

Prime factors of 93496 are 2, 13, 29, 31. Prime factorization of 93496 in exponential form is:

93496 = 23 × 131 × 291 × 311

Prime Factorization of 93505

Prime factors of 93505 are 5, 18701. Prime factorization of 93505 in exponential form is:

93505 = 51 × 187011

Now multiplying the highest exponent prime factors to calculate the LCM of 93496 and 93505.

LCM(93496,93505) = 23 × 131 × 291 × 311 × 51 × 187011
LCM(93496,93505) = 8742343480