Least Common Multiple of 9372 and 9379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9372 and 9379 the smallest integer that is 87899988 that is divisible by both numbers.

Least Common Multiple (LCM) of 9372 and 9379 is 87899988.

LCM(9372,9379) = 87899988

LCM of 9372 and 9379

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

LCM of:
and

Least Common Multiple of 9372 and 9379

LCM of 9372 and 9379 is 87899988

Least common multiple can be found by multiplying the highest exponent prime factors of 9372 and 9379. First we will calculate the prime factors of 9372 and 9379.

Prime Factorization of 9372


2 9372
2 4686
3 2343
11 781
71 71
1

Prime factors of 9372 are 2, 3, 11,71. Prime factorization of 9372 in exponential form is:

9372 = 22×31×111×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9372 and 9379.

LCM(9372,9379) = 22×31×111×711×831×1131
LCM(9372,9379) = 87899988

Factors of 9372

List of positive integer factors of 9372 that divides 9372 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372

Factors of 9379

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

1, 83, 113, 9379

Least Common Multiple of 9372 and 9379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9372 and 9379, than apply into the LCM equation.

GCF(9372,9379) = 1
LCM(9372,9379) = ( 9372 × 9379) / 1
LCM(9372,9379) = 87899988 / 1
LCM(9372,9379) = 87899988

Properties of LCM 9372 and 9379

(i) The LCM of 9379 and 9372 is associative

LCM of 9372 and 9379 = LCM of 9379 and 9372

Related Least Common Multiples of 9372

Related Least Common Multiples of 9379

Frequently Asked Questions on LCM of 9372 and 9379

1. What is the LCM of 9372 and 9379?

Answer: LCM of 9372 and 9379 is 87899988.

2. What are the Factors of 9372?

Answer: Factors of 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372. There are 24 integers that are factors of 9372. The greatest factor of 9372 is 9372.

3. 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.

4. How to Find the LCM of 9372 and 9379?

Answer:

Least Common Multiple of 9372 and 9379 = 87899988

Step 1: Find the prime factorization of 9372

9372 = 2 x 2 x 3 x 11 x 71

Step 2: Find the prime factorization of 9379

9379 = 83 x 113

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

LCM = 87899988 = 2 x 2 x 3 x 11 x 71 x 83 x 113

Step 4: Therefore, the least common multiple of 9372 and 9379 is 87899988.