Least Common Multiple of 9379 and 9382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9379 and 9382 the smallest integer that is 87993778 that is divisible by both numbers.

Least Common Multiple (LCM) of 9379 and 9382 is 87993778.

LCM(9379,9382) = 87993778

LCM of 9379 and 9382

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9379 and 9382

LCM of 9379 and 9382 is 87993778

Least common multiple can be found by multiplying the highest exponent prime factors of 9379 and 9382. First we will calculate the prime factors of 9379 and 9382.

Prime Factorization of 9379


83 9379
113 113
1

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

9379 = 831×1131

Prime Factorization of 9382


2 9382
4691 4691
1

Prime factors of 9382 are 2,4691. Prime factorization of 9382 in exponential form is:

9382 = 21×46911

Now multiplying the highest exponent prime factors to calculate the LCM of 9379 and 9382.

LCM(9379,9382) = 21×831×1131×46911
LCM(9379,9382) = 87993778

Factors of 9379

List of positive integer factors of 9379 that divides 9379 without a remainder.

1, 83, 113, 9379

Factors of 9382

List of positive integer factors of 9382 that divides 9382 without a remainder.

1, 2, 4691, 9382

Least Common Multiple of 9379 and 9382 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 9382, than apply into the LCM equation.

GCF(9379,9382) = 1
LCM(9379,9382) = ( 9379 × 9382) / 1
LCM(9379,9382) = 87993778 / 1
LCM(9379,9382) = 87993778

Properties of LCM 9379 and 9382

(i) The LCM of 9382 and 9379 is associative

LCM of 9379 and 9382 = LCM of 9382 and 9379

Related Least Common Multiples of 9379

Related Least Common Multiples of 9382

Frequently Asked Questions on LCM of 9379 and 9382

1. What is the LCM of 9379 and 9382?

Answer: LCM of 9379 and 9382 is 87993778.

2. What are the Factors of 9379?

Answer: Factors of 9379 are 1, 83, 113, 9379. There are 4 integers that are factors of 9379. The greatest factor of 9379 is 9379.

3. What are the Factors of 9382?

Answer: Factors of 9382 are 1, 2, 4691, 9382. There are 4 integers that are factors of 9382. The greatest factor of 9382 is 9382.

4. How to Find the LCM of 9379 and 9382?

Answer:

Least Common Multiple of 9379 and 9382 = 87993778

Step 1: Find the prime factorization of 9379

9379 = 83 x 113

Step 2: Find the prime factorization of 9382

9382 = 2 x 4691

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 87993778 = 2 x 83 x 113 x 4691

Step 4: Therefore, the least common multiple of 9379 and 9382 is 87993778.