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What is the Least Common Multiple of 91396 and 91408?

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 91396 and 91408 is 2088581392.

LCM(91396,91408) = 2088581392

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Least Common Multiple of 91396 and 91408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91396 and 91408, than apply into the LCM equation.

GCF(91396,91408) = 4
LCM(91396,91408) = ( 91396 × 91408) / 4
LCM(91396,91408) = 8354325568 / 4
LCM(91396,91408) = 2088581392

Least Common Multiple (LCM) of 91396 and 91408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91396 and 91408. First we will calculate the prime factors of 91396 and 91408.

Prime Factorization of 91396

Prime factors of 91396 are 2, 73, 313. Prime factorization of 91396 in exponential form is:

91396 = 22 × 731 × 3131

Prime Factorization of 91408

Prime factors of 91408 are 2, 29, 197. Prime factorization of 91408 in exponential form is:

91408 = 24 × 291 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 91396 and 91408.

LCM(91396,91408) = 24 × 731 × 3131 × 291 × 1971
LCM(91396,91408) = 2088581392