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What is the Least Common Multiple of 93483 and 93496?

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 93483 and 93496 is 672329736.

LCM(93483,93496) = 672329736

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Least Common Multiple of 93483 and 93496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93483 and 93496, than apply into the LCM equation.

GCF(93483,93496) = 13
LCM(93483,93496) = ( 93483 × 93496) / 13
LCM(93483,93496) = 8740286568 / 13
LCM(93483,93496) = 672329736

Least Common Multiple (LCM) of 93483 and 93496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93483 and 93496. First we will calculate the prime factors of 93483 and 93496.

Prime Factorization of 93483

Prime factors of 93483 are 3, 13, 17, 47. Prime factorization of 93483 in exponential form is:

93483 = 32 × 131 × 171 × 471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 93483 and 93496.

LCM(93483,93496) = 32 × 131 × 171 × 471 × 23 × 291 × 311
LCM(93483,93496) = 672329736