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What is the Least Common Multiple of 93496 and 93501?

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 93501 is 8741969496.

LCM(93496,93501) = 8741969496

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Least Common Multiple of 93496 and 93501 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 93501, than apply into the LCM equation.

GCF(93496,93501) = 1
LCM(93496,93501) = ( 93496 × 93501) / 1
LCM(93496,93501) = 8741969496 / 1
LCM(93496,93501) = 8741969496

Least Common Multiple (LCM) of 93496 and 93501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93496 and 93501. First we will calculate the prime factors of 93496 and 93501.

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 93501

Prime factors of 93501 are 3, 3463. Prime factorization of 93501 in exponential form is:

93501 = 33 × 34631

Now multiplying the highest exponent prime factors to calculate the LCM of 93496 and 93501.

LCM(93496,93501) = 23 × 131 × 291 × 311 × 33 × 34631
LCM(93496,93501) = 8741969496