Least Common Multiple of 9373 and 9380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9373 and 9380 the smallest integer that is 12559820 that is divisible by both numbers.

Least Common Multiple (LCM) of 9373 and 9380 is 12559820.

LCM(9373,9380) = 12559820

LCM of 9373 and 9380

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

LCM of:
and

Least Common Multiple of 9373 and 9380

LCM of 9373 and 9380 is 12559820

Least common multiple can be found by multiplying the highest exponent prime factors of 9373 and 9380. First we will calculate the prime factors of 9373 and 9380.

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

Prime Factorization of 9380


2 9380
2 4690
5 2345
7 469
67 67
1

Prime factors of 9380 are 2, 5, 7,67. Prime factorization of 9380 in exponential form is:

9380 = 22×51×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 9373 and 9380.

LCM(9373,9380) = 22×51×71×131×671×1031
LCM(9373,9380) = 12559820

Factors of 9373

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

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

Factors of 9380

List of positive integer factors of 9380 that divides 9380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380

Least Common Multiple of 9373 and 9380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9373 and 9380, than apply into the LCM equation.

GCF(9373,9380) = 7
LCM(9373,9380) = ( 9373 × 9380) / 7
LCM(9373,9380) = 87918740 / 7
LCM(9373,9380) = 12559820

Properties of LCM 9373 and 9380

(i) The LCM of 9380 and 9373 is associative

LCM of 9373 and 9380 = LCM of 9380 and 9373

Related Least Common Multiples of 9373

Related Least Common Multiples of 9380

Frequently Asked Questions on LCM of 9373 and 9380

1. What is the LCM of 9373 and 9380?

Answer: LCM of 9373 and 9380 is 12559820.

2. 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.

3. What are the Factors of 9380?

Answer: Factors of 9380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380. There are 24 integers that are factors of 9380. The greatest factor of 9380 is 9380.

4. How to Find the LCM of 9373 and 9380?

Answer:

Least Common Multiple of 9373 and 9380 = 12559820

Step 1: Find the prime factorization of 9373

9373 = 7 x 13 x 103

Step 2: Find the prime factorization of 9380

9380 = 2 x 2 x 5 x 7 x 67

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

LCM = 12559820 = 2 x 2 x 5 x 7 x 13 x 67 x 103

Step 4: Therefore, the least common multiple of 9373 and 9380 is 12559820.