Least Common Multiple of 9379 and 9384

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 9384 the smallest integer that is 88012536 that is divisible by both numbers.

Least Common Multiple (LCM) of 9379 and 9384 is 88012536.

LCM(9379,9384) = 88012536

LCM of 9379 and 9384

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

LCM of:
and

Least Common Multiple of 9379 and 9384

LCM of 9379 and 9384 is 88012536

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


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 9384


2 9384
2 4692
2 2346
3 1173
17 391
23 23
1

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

Factors of 9379

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

1, 83, 113, 9379

Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384

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

Properties of LCM 9379 and 9384

(i) The LCM of 9384 and 9379 is associative

LCM of 9379 and 9384 = LCM of 9384 and 9379

Related Least Common Multiples of 9379

Related Least Common Multiples of 9384

Frequently Asked Questions on LCM of 9379 and 9384

1. What is the LCM of 9379 and 9384?

Answer: LCM of 9379 and 9384 is 88012536.

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 9384?

Answer: Factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384. There are 32 integers that are factors of 9384. The greatest factor of 9384 is 9384.

4. How to Find the LCM of 9379 and 9384?

Answer:

Least Common Multiple of 9379 and 9384 = 88012536

Step 1: Find the prime factorization of 9379

9379 = 83 x 113

Step 2: Find the prime factorization of 9384

9384 = 2 x 2 x 2 x 3 x 17 x 23

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

LCM = 88012536 = 2 x 2 x 2 x 3 x 17 x 23 x 83 x 113

Step 4: Therefore, the least common multiple of 9379 and 9384 is 88012536.