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What is the Least Common Multiple of 9379 and 9384?

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 9379 and 9384 is 88012536.

LCM(9379,9384) = 88012536

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Least Common Multiple of 9379 and 9384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9379 and 9384, than apply into the LCM equation.

GCF(9379,9384) = 1
LCM(9379,9384) = ( 9379 × 9384) / 1
LCM(9379,9384) = 88012536 / 1
LCM(9379,9384) = 88012536

Least Common Multiple (LCM) of 9379 and 9384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9379 and 9384. First we will calculate the prime factors of 9379 and 9384.

Prime Factorization of 9379

Prime factors of 9379 are 83, 113. Prime factorization of 9379 in exponential form is:

9379 = 831 × 1131

Prime Factorization of 9384

Prime factors of 9384 are 2, 3, 17, 23. Prime factorization of 9384 in exponential form is:

9384 = 23 × 31 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 9379 and 9384.

LCM(9379,9384) = 831 × 1131 × 23 × 31 × 171 × 231
LCM(9379,9384) = 88012536