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What is the Least Common Multiple of 9386 and 9392?

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 9386 and 9392 is 44076656.

LCM(9386,9392) = 44076656

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Least Common Multiple of 9386 and 9392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9386 and 9392, than apply into the LCM equation.

GCF(9386,9392) = 2
LCM(9386,9392) = ( 9386 × 9392) / 2
LCM(9386,9392) = 88153312 / 2
LCM(9386,9392) = 44076656

Least Common Multiple (LCM) of 9386 and 9392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9386 and 9392. First we will calculate the prime factors of 9386 and 9392.

Prime Factorization of 9386

Prime factors of 9386 are 2, 13, 19. Prime factorization of 9386 in exponential form is:

9386 = 21 × 131 × 192

Prime Factorization of 9392

Prime factors of 9392 are 2, 587. Prime factorization of 9392 in exponential form is:

9392 = 24 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 9386 and 9392.

LCM(9386,9392) = 24 × 131 × 192 × 5871
LCM(9386,9392) = 44076656