Least Common Multiple of 6370 and 6375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6370 and 6375 the smallest integer that is 8121750 that is divisible by both numbers.

Least Common Multiple (LCM) of 6370 and 6375 is 8121750.

LCM(6370,6375) = 8121750

LCM of 6370 and 6375

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

LCM of:
and

Least Common Multiple of 6370 and 6375

LCM of 6370 and 6375 is 8121750

Least common multiple can be found by multiplying the highest exponent prime factors of 6370 and 6375. First we will calculate the prime factors of 6370 and 6375.

Prime Factorization of 6370


2 6370
5 3185
7 637
7 91
13 13
1

Prime factors of 6370 are 2, 5, 7,13. Prime factorization of 6370 in exponential form is:

6370 = 21×51×72×131

Prime Factorization of 6375


3 6375
5 2125
5 425
5 85
17 17
1

Prime factors of 6375 are 3, 5,17. Prime factorization of 6375 in exponential form is:

6375 = 31×53×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6370 and 6375.

LCM(6370,6375) = 21×31×53×72×131×171
LCM(6370,6375) = 8121750

Factors of 6370

List of positive integer factors of 6370 that divides 6370 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370

Factors of 6375

List of positive integer factors of 6375 that divides 6375 without a remainder.

1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375

Least Common Multiple of 6370 and 6375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6370 and 6375, than apply into the LCM equation.

GCF(6370,6375) = 5
LCM(6370,6375) = ( 6370 × 6375) / 5
LCM(6370,6375) = 40608750 / 5
LCM(6370,6375) = 8121750

Properties of LCM 6370 and 6375

(i) The LCM of 6375 and 6370 is associative

LCM of 6370 and 6375 = LCM of 6375 and 6370

Related Least Common Multiples of 6370

Related Least Common Multiples of 6375

Frequently Asked Questions on LCM of 6370 and 6375

1. What is the LCM of 6370 and 6375?

Answer: LCM of 6370 and 6375 is 8121750.

2. What are the Factors of 6370?

Answer: Factors of 6370 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370. There are 24 integers that are factors of 6370. The greatest factor of 6370 is 6370.

3. What are the Factors of 6375?

Answer: Factors of 6375 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375. There are 16 integers that are factors of 6375. The greatest factor of 6375 is 6375.

4. How to Find the LCM of 6370 and 6375?

Answer:

Least Common Multiple of 6370 and 6375 = 8121750

Step 1: Find the prime factorization of 6370

6370 = 2 x 5 x 7 x 7 x 13

Step 2: Find the prime factorization of 6375

6375 = 3 x 5 x 5 x 5 x 17

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

LCM = 8121750 = 2 x 3 x 5 x 5 x 5 x 7 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 6370 and 6375 is 8121750.