Least Common Multiple of 8375 and 8376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8375 and 8376 the smallest integer that is 70149000 that is divisible by both numbers.

Least Common Multiple (LCM) of 8375 and 8376 is 70149000.

LCM(8375,8376) = 70149000

LCM of 8375 and 8376

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

LCM of:
and

Least Common Multiple of 8375 and 8376

LCM of 8375 and 8376 is 70149000

Least common multiple can be found by multiplying the highest exponent prime factors of 8375 and 8376. First we will calculate the prime factors of 8375 and 8376.

Prime Factorization of 8375


5 8375
5 1675
5 335
67 67
1

Prime factors of 8375 are 5,67. Prime factorization of 8375 in exponential form is:

8375 = 53×671

Prime Factorization of 8376


2 8376
2 4188
2 2094
3 1047
349 349
1

Prime factors of 8376 are 2, 3,349. Prime factorization of 8376 in exponential form is:

8376 = 23×31×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 8375 and 8376.

LCM(8375,8376) = 23×31×53×671×3491
LCM(8375,8376) = 70149000

Factors of 8375

List of positive integer factors of 8375 that divides 8375 without a remainder.

1, 5, 25, 67, 125, 335, 1675, 8375

Factors of 8376

List of positive integer factors of 8376 that divides 8376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376

Least Common Multiple of 8375 and 8376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8375 and 8376, than apply into the LCM equation.

GCF(8375,8376) = 1
LCM(8375,8376) = ( 8375 × 8376) / 1
LCM(8375,8376) = 70149000 / 1
LCM(8375,8376) = 70149000

Properties of LCM 8375 and 8376

(i) The LCM of 8376 and 8375 is associative

LCM of 8375 and 8376 = LCM of 8376 and 8375

Related Least Common Multiples of 8375

Related Least Common Multiples of 8376

Frequently Asked Questions on LCM of 8375 and 8376

1. What is the LCM of 8375 and 8376?

Answer: LCM of 8375 and 8376 is 70149000.

2. What are the Factors of 8375?

Answer: Factors of 8375 are 1, 5, 25, 67, 125, 335, 1675, 8375. There are 8 integers that are factors of 8375. The greatest factor of 8375 is 8375.

3. What are the Factors of 8376?

Answer: Factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376. There are 16 integers that are factors of 8376. The greatest factor of 8376 is 8376.

4. How to Find the LCM of 8375 and 8376?

Answer:

Least Common Multiple of 8375 and 8376 = 70149000

Step 1: Find the prime factorization of 8375

8375 = 5 x 5 x 5 x 67

Step 2: Find the prime factorization of 8376

8376 = 2 x 2 x 2 x 3 x 349

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

LCM = 70149000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 67 x 349

Step 4: Therefore, the least common multiple of 8375 and 8376 is 70149000.