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What is the Least Common Multiple of 93793 and 93810?

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 93793 and 93810 is 8798721330.

LCM(93793,93810) = 8798721330

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Least Common Multiple of 93793 and 93810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93793 and 93810, than apply into the LCM equation.

GCF(93793,93810) = 1
LCM(93793,93810) = ( 93793 × 93810) / 1
LCM(93793,93810) = 8798721330 / 1
LCM(93793,93810) = 8798721330

Least Common Multiple (LCM) of 93793 and 93810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93793 and 93810. First we will calculate the prime factors of 93793 and 93810.

Prime Factorization of 93793

Prime factors of 93793 are 7, 13399. Prime factorization of 93793 in exponential form is:

93793 = 71 × 133991

Prime Factorization of 93810

Prime factors of 93810 are 2, 3, 5, 53, 59. Prime factorization of 93810 in exponential form is:

93810 = 21 × 31 × 51 × 531 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 93793 and 93810.

LCM(93793,93810) = 71 × 133991 × 21 × 31 × 51 × 531 × 591
LCM(93793,93810) = 8798721330