Least Common Multiple of 9371 and 9376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9371 and 9376 the smallest integer that is 87862496 that is divisible by both numbers.

Least Common Multiple (LCM) of 9371 and 9376 is 87862496.

LCM(9371,9376) = 87862496

LCM of 9371 and 9376

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

LCM of:
and

Least Common Multiple of 9371 and 9376

LCM of 9371 and 9376 is 87862496

Least common multiple can be found by multiplying the highest exponent prime factors of 9371 and 9376. First we will calculate the prime factors of 9371 and 9376.

Prime Factorization of 9371


9371 9371
1

Prime factors of 9371 are 9371. Prime factorization of 9371 in exponential form is:

9371 = 93711

Prime Factorization of 9376


2 9376
2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 9376 are 2,293. Prime factorization of 9376 in exponential form is:

9376 = 25×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 9371 and 9376.

LCM(9371,9376) = 25×2931×93711
LCM(9371,9376) = 87862496

Factors of 9371

List of positive integer factors of 9371 that divides 9371 without a remainder.

1, 9371

Factors of 9376

List of positive integer factors of 9376 that divides 9376 without a remainder.

1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376

Least Common Multiple of 9371 and 9376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9371 and 9376, than apply into the LCM equation.

GCF(9371,9376) = 1
LCM(9371,9376) = ( 9371 × 9376) / 1
LCM(9371,9376) = 87862496 / 1
LCM(9371,9376) = 87862496

Properties of LCM 9371 and 9376

(i) The LCM of 9376 and 9371 is associative

LCM of 9371 and 9376 = LCM of 9376 and 9371

Related Least Common Multiples of 9371

Related Least Common Multiples of 9376

Frequently Asked Questions on LCM of 9371 and 9376

1. What is the LCM of 9371 and 9376?

Answer: LCM of 9371 and 9376 is 87862496.

2. What are the Factors of 9371?

Answer: Factors of 9371 are 1, 9371. There are 2 integers that are factors of 9371. The greatest factor of 9371 is 9371.

3. What are the Factors of 9376?

Answer: Factors of 9376 are 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376. There are 12 integers that are factors of 9376. The greatest factor of 9376 is 9376.

4. How to Find the LCM of 9371 and 9376?

Answer:

Least Common Multiple of 9371 and 9376 = 87862496

Step 1: Find the prime factorization of 9371

9371 = 9371

Step 2: Find the prime factorization of 9376

9376 = 2 x 2 x 2 x 2 x 2 x 293

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

LCM = 87862496 = 2 x 2 x 2 x 2 x 2 x 293 x 9371

Step 4: Therefore, the least common multiple of 9371 and 9376 is 87862496.