Least Common Multiple of 9368 and 9373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9368 and 9373 the smallest integer that is 87806264 that is divisible by both numbers.

Least Common Multiple (LCM) of 9368 and 9373 is 87806264.

LCM(9368,9373) = 87806264

LCM of 9368 and 9373

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

LCM of:
and

Least Common Multiple of 9368 and 9373

LCM of 9368 and 9373 is 87806264

Least common multiple can be found by multiplying the highest exponent prime factors of 9368 and 9373. First we will calculate the prime factors of 9368 and 9373.

Prime Factorization of 9368


2 9368
2 4684
2 2342
1171 1171
1

Prime factors of 9368 are 2,1171. Prime factorization of 9368 in exponential form is:

9368 = 23×11711

Prime Factorization of 9373


7 9373
13 1339
103 103
1

Prime factors of 9373 are 7, 13,103. Prime factorization of 9373 in exponential form is:

9373 = 71×131×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9368 and 9373.

LCM(9368,9373) = 23×71×131×1031×11711
LCM(9368,9373) = 87806264

Factors of 9368

List of positive integer factors of 9368 that divides 9368 without a remainder.

1, 2, 4, 8, 1171, 2342, 4684, 9368

Factors of 9373

List of positive integer factors of 9373 that divides 9373 without a remainder.

1, 7, 13, 91, 103, 721, 1339, 9373

Least Common Multiple of 9368 and 9373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9368 and 9373, than apply into the LCM equation.

GCF(9368,9373) = 1
LCM(9368,9373) = ( 9368 × 9373) / 1
LCM(9368,9373) = 87806264 / 1
LCM(9368,9373) = 87806264

Properties of LCM 9368 and 9373

(i) The LCM of 9373 and 9368 is associative

LCM of 9368 and 9373 = LCM of 9373 and 9368

Related Least Common Multiples of 9368

Related Least Common Multiples of 9373

Frequently Asked Questions on LCM of 9368 and 9373

1. What is the LCM of 9368 and 9373?

Answer: LCM of 9368 and 9373 is 87806264.

2. What are the Factors of 9368?

Answer: Factors of 9368 are 1, 2, 4, 8, 1171, 2342, 4684, 9368. There are 8 integers that are factors of 9368. The greatest factor of 9368 is 9368.

3. What are the Factors of 9373?

Answer: Factors of 9373 are 1, 7, 13, 91, 103, 721, 1339, 9373. There are 8 integers that are factors of 9373. The greatest factor of 9373 is 9373.

4. How to Find the LCM of 9368 and 9373?

Answer:

Least Common Multiple of 9368 and 9373 = 87806264

Step 1: Find the prime factorization of 9368

9368 = 2 x 2 x 2 x 1171

Step 2: Find the prime factorization of 9373

9373 = 7 x 13 x 103

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

LCM = 87806264 = 2 x 2 x 2 x 7 x 13 x 103 x 1171

Step 4: Therefore, the least common multiple of 9368 and 9373 is 87806264.