Least Common Multiple of 9379 and 9387

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 9387 the smallest integer that is 88040673 that is divisible by both numbers.

Least Common Multiple (LCM) of 9379 and 9387 is 88040673.

LCM(9379,9387) = 88040673

LCM of 9379 and 9387

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

LCM of:
and

Least Common Multiple of 9379 and 9387

LCM of 9379 and 9387 is 88040673

Least common multiple can be found by multiplying the highest exponent prime factors of 9379 and 9387. First we will calculate the prime factors of 9379 and 9387.

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 9387


3 9387
3 3129
7 1043
149 149
1

Prime factors of 9387 are 3, 7,149. Prime factorization of 9387 in exponential form is:

9387 = 32×71×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9379 and 9387.

LCM(9379,9387) = 32×71×831×1131×1491
LCM(9379,9387) = 88040673

Factors of 9379

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

1, 83, 113, 9379

Factors of 9387

List of positive integer factors of 9387 that divides 9387 without a remainder.

1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387

Least Common Multiple of 9379 and 9387 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 9387, than apply into the LCM equation.

GCF(9379,9387) = 1
LCM(9379,9387) = ( 9379 × 9387) / 1
LCM(9379,9387) = 88040673 / 1
LCM(9379,9387) = 88040673

Properties of LCM 9379 and 9387

(i) The LCM of 9387 and 9379 is associative

LCM of 9379 and 9387 = LCM of 9387 and 9379

Related Least Common Multiples of 9379

Related Least Common Multiples of 9387

Frequently Asked Questions on LCM of 9379 and 9387

1. What is the LCM of 9379 and 9387?

Answer: LCM of 9379 and 9387 is 88040673.

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 9387?

Answer: Factors of 9387 are 1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387. There are 12 integers that are factors of 9387. The greatest factor of 9387 is 9387.

4. How to Find the LCM of 9379 and 9387?

Answer:

Least Common Multiple of 9379 and 9387 = 88040673

Step 1: Find the prime factorization of 9379

9379 = 83 x 113

Step 2: Find the prime factorization of 9387

9387 = 3 x 3 x 7 x 149

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

LCM = 88040673 = 3 x 3 x 7 x 83 x 113 x 149

Step 4: Therefore, the least common multiple of 9379 and 9387 is 88040673.