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What is the Least Common Multiple of 92368 and 92384?

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 92368 and 92384 is 533332832.

LCM(92368,92384) = 533332832

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Least Common Multiple of 92368 and 92384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92368 and 92384, than apply into the LCM equation.

GCF(92368,92384) = 16
LCM(92368,92384) = ( 92368 × 92384) / 16
LCM(92368,92384) = 8533325312 / 16
LCM(92368,92384) = 533332832

Least Common Multiple (LCM) of 92368 and 92384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92368 and 92384. First we will calculate the prime factors of 92368 and 92384.

Prime Factorization of 92368

Prime factors of 92368 are 2, 23, 251. Prime factorization of 92368 in exponential form is:

92368 = 24 × 231 × 2511

Prime Factorization of 92384

Prime factors of 92384 are 2, 2887. Prime factorization of 92384 in exponential form is:

92384 = 25 × 28871

Now multiplying the highest exponent prime factors to calculate the LCM of 92368 and 92384.

LCM(92368,92384) = 25 × 231 × 2511 × 28871
LCM(92368,92384) = 533332832