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What is the Least Common Multiple of 9379 and 9386?

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 9386 is 88031294.

LCM(9379,9386) = 88031294

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Least Common Multiple of 9379 and 9386 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 9386, than apply into the LCM equation.

GCF(9379,9386) = 1
LCM(9379,9386) = ( 9379 × 9386) / 1
LCM(9379,9386) = 88031294 / 1
LCM(9379,9386) = 88031294

Least Common Multiple (LCM) of 9379 and 9386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9379 and 9386. First we will calculate the prime factors of 9379 and 9386.

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 9386

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

9386 = 21 × 131 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 9379 and 9386.

LCM(9379,9386) = 831 × 1131 × 21 × 131 × 192
LCM(9379,9386) = 88031294