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What is the Least Common Multiple of 94366 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 94366 and 94383 is 8906546178.

LCM(94366,94383) = 8906546178

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Least Common Multiple of 94366 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 94366 and 94383, than apply into the LCM equation.

GCF(94366,94383) = 1
LCM(94366,94383) = ( 94366 × 94383) / 1
LCM(94366,94383) = 8906546178 / 1
LCM(94366,94383) = 8906546178

Least Common Multiple (LCM) of 94366 and 94383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94366 and 94383. First we will calculate the prime factors of 94366 and 94383.

Prime Factorization of 94366

Prime factors of 94366 are 2, 29, 1627. Prime factorization of 94366 in exponential form is:

94366 = 21 × 291 × 16271

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 94366 and 94383.

LCM(94366,94383) = 21 × 291 × 16271 × 32 × 104871
LCM(94366,94383) = 8906546178