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What is the Least Common Multiple of 9365 and 9374?

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 9365 and 9374 is 87787510.

LCM(9365,9374) = 87787510

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Least Common Multiple of 9365 and 9374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9365 and 9374, than apply into the LCM equation.

GCF(9365,9374) = 1
LCM(9365,9374) = ( 9365 × 9374) / 1
LCM(9365,9374) = 87787510 / 1
LCM(9365,9374) = 87787510

Least Common Multiple (LCM) of 9365 and 9374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9365 and 9374. First we will calculate the prime factors of 9365 and 9374.

Prime Factorization of 9365

Prime factors of 9365 are 5, 1873. Prime factorization of 9365 in exponential form is:

9365 = 51 × 18731

Prime Factorization of 9374

Prime factors of 9374 are 2, 43, 109. Prime factorization of 9374 in exponential form is:

9374 = 21 × 431 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9365 and 9374.

LCM(9365,9374) = 51 × 18731 × 21 × 431 × 1091
LCM(9365,9374) = 87787510