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What is the Least Common Multiple of 93783 and 93791?

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 93783 and 93791 is 8796001353.

LCM(93783,93791) = 8796001353

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Least Common Multiple of 93783 and 93791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93783 and 93791, than apply into the LCM equation.

GCF(93783,93791) = 1
LCM(93783,93791) = ( 93783 × 93791) / 1
LCM(93783,93791) = 8796001353 / 1
LCM(93783,93791) = 8796001353

Least Common Multiple (LCM) of 93783 and 93791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93783 and 93791. First we will calculate the prime factors of 93783 and 93791.

Prime Factorization of 93783

Prime factors of 93783 are 3, 43, 727. Prime factorization of 93783 in exponential form is:

93783 = 31 × 431 × 7271

Prime Factorization of 93791

Prime factors of 93791 are 71, 1321. Prime factorization of 93791 in exponential form is:

93791 = 711 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 93783 and 93791.

LCM(93783,93791) = 31 × 431 × 7271 × 711 × 13211
LCM(93783,93791) = 8796001353