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What is the Least Common Multiple of 93778 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 93778 and 93791 is 8795532398.

LCM(93778,93791) = 8795532398

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Least Common Multiple of 93778 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 93778 and 93791, than apply into the LCM equation.

GCF(93778,93791) = 1
LCM(93778,93791) = ( 93778 × 93791) / 1
LCM(93778,93791) = 8795532398 / 1
LCM(93778,93791) = 8795532398

Least Common Multiple (LCM) of 93778 and 93791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93778 and 93791. First we will calculate the prime factors of 93778 and 93791.

Prime Factorization of 93778

Prime factors of 93778 are 2, 46889. Prime factorization of 93778 in exponential form is:

93778 = 21 × 468891

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 93778 and 93791.

LCM(93778,93791) = 21 × 468891 × 711 × 13211
LCM(93778,93791) = 8795532398