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What is the Least Common Multiple of 94369 and 94383?

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 94369 and 94383 is 8906829327.

LCM(94369,94383) = 8906829327

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Least Common Multiple of 94369 and 94383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94369 and 94383, than apply into the LCM equation.

GCF(94369,94383) = 1
LCM(94369,94383) = ( 94369 × 94383) / 1
LCM(94369,94383) = 8906829327 / 1
LCM(94369,94383) = 8906829327

Least Common Multiple (LCM) of 94369 and 94383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94369 and 94383. First we will calculate the prime factors of 94369 and 94383.

Prime Factorization of 94369

Prime factors of 94369 are 11, 23, 373. Prime factorization of 94369 in exponential form is:

94369 = 111 × 231 × 3731

Prime Factorization of 94383

Prime factors of 94383 are 3, 10487. Prime factorization of 94383 in exponential form is:

94383 = 32 × 104871

Now multiplying the highest exponent prime factors to calculate the LCM of 94369 and 94383.

LCM(94369,94383) = 111 × 231 × 3731 × 32 × 104871
LCM(94369,94383) = 8906829327