Least Common Multiple of 8372 and 8378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8372 and 8378 the smallest integer that is 35070308 that is divisible by both numbers.

Least Common Multiple (LCM) of 8372 and 8378 is 35070308.

LCM(8372,8378) = 35070308

LCM of 8372 and 8378

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

LCM of:
and

Least Common Multiple of 8372 and 8378

LCM of 8372 and 8378 is 35070308

Least common multiple can be found by multiplying the highest exponent prime factors of 8372 and 8378. First we will calculate the prime factors of 8372 and 8378.

Prime Factorization of 8372


2 8372
2 4186
7 2093
13 299
23 23
1

Prime factors of 8372 are 2, 7, 13,23. Prime factorization of 8372 in exponential form is:

8372 = 22×71×131×231

Prime Factorization of 8378


2 8378
59 4189
71 71
1

Prime factors of 8378 are 2, 59,71. Prime factorization of 8378 in exponential form is:

8378 = 21×591×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8372 and 8378.

LCM(8372,8378) = 22×71×131×231×591×711
LCM(8372,8378) = 35070308

Factors of 8372

List of positive integer factors of 8372 that divides 8372 without a remainder.

1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372

Factors of 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1, 2, 59, 71, 118, 142, 4189, 8378

Least Common Multiple of 8372 and 8378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8372 and 8378, than apply into the LCM equation.

GCF(8372,8378) = 2
LCM(8372,8378) = ( 8372 × 8378) / 2
LCM(8372,8378) = 70140616 / 2
LCM(8372,8378) = 35070308

Properties of LCM 8372 and 8378

(i) The LCM of 8378 and 8372 is associative

LCM of 8372 and 8378 = LCM of 8378 and 8372

Related Least Common Multiples of 8372

Related Least Common Multiples of 8378

Frequently Asked Questions on LCM of 8372 and 8378

1. What is the LCM of 8372 and 8378?

Answer: LCM of 8372 and 8378 is 35070308.

2. What are the Factors of 8372?

Answer: Factors of 8372 are 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372. There are 24 integers that are factors of 8372. The greatest factor of 8372 is 8372.

3. What are the Factors of 8378?

Answer: Factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378. There are 8 integers that are factors of 8378. The greatest factor of 8378 is 8378.

4. How to Find the LCM of 8372 and 8378?

Answer:

Least Common Multiple of 8372 and 8378 = 35070308

Step 1: Find the prime factorization of 8372

8372 = 2 x 2 x 7 x 13 x 23

Step 2: Find the prime factorization of 8378

8378 = 2 x 59 x 71

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

LCM = 35070308 = 2 x 2 x 7 x 13 x 23 x 59 x 71

Step 4: Therefore, the least common multiple of 8372 and 8378 is 35070308.