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What is the Least Common Multiple of 91368 and 91384?

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 91368 and 91384 is 1043696664.

LCM(91368,91384) = 1043696664

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Least Common Multiple of 91368 and 91384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91368 and 91384, than apply into the LCM equation.

GCF(91368,91384) = 8
LCM(91368,91384) = ( 91368 × 91384) / 8
LCM(91368,91384) = 8349573312 / 8
LCM(91368,91384) = 1043696664

Least Common Multiple (LCM) of 91368 and 91384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91368 and 91384. First we will calculate the prime factors of 91368 and 91384.

Prime Factorization of 91368

Prime factors of 91368 are 2, 3, 47. Prime factorization of 91368 in exponential form is:

91368 = 23 × 35 × 471

Prime Factorization of 91384

Prime factors of 91384 are 2, 11423. Prime factorization of 91384 in exponential form is:

91384 = 23 × 114231

Now multiplying the highest exponent prime factors to calculate the LCM of 91368 and 91384.

LCM(91368,91384) = 23 × 35 × 471 × 114231
LCM(91368,91384) = 1043696664