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What is the Least Common Multiple of 91319 and 91336?

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 91319 and 91336 is 8340712184.

LCM(91319,91336) = 8340712184

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Least Common Multiple of 91319 and 91336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91319 and 91336, than apply into the LCM equation.

GCF(91319,91336) = 1
LCM(91319,91336) = ( 91319 × 91336) / 1
LCM(91319,91336) = 8340712184 / 1
LCM(91319,91336) = 8340712184

Least Common Multiple (LCM) of 91319 and 91336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91319 and 91336. First we will calculate the prime factors of 91319 and 91336.

Prime Factorization of 91319

Prime factors of 91319 are 53, 1723. Prime factorization of 91319 in exponential form is:

91319 = 531 × 17231

Prime Factorization of 91336

Prime factors of 91336 are 2, 7, 233. Prime factorization of 91336 in exponential form is:

91336 = 23 × 72 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 91319 and 91336.

LCM(91319,91336) = 531 × 17231 × 23 × 72 × 2331
LCM(91319,91336) = 8340712184