Least Common Multiple of 6370 and 6378

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 6378 the smallest integer that is 20313930 that is divisible by both numbers.

Least Common Multiple (LCM) of 6370 and 6378 is 20313930.

LCM(6370,6378) = 20313930

LCM of 6370 and 6378

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

LCM of:
and

Least Common Multiple of 6370 and 6378

LCM of 6370 and 6378 is 20313930

Least common multiple can be found by multiplying the highest exponent prime factors of 6370 and 6378. First we will calculate the prime factors of 6370 and 6378.

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 6378


2 6378
3 3189
1063 1063
1

Prime factors of 6378 are 2, 3,1063. Prime factorization of 6378 in exponential form is:

6378 = 21×31×10631

Now multiplying the highest exponent prime factors to calculate the LCM of 6370 and 6378.

LCM(6370,6378) = 21×31×51×72×131×10631
LCM(6370,6378) = 20313930

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 6378

List of positive integer factors of 6378 that divides 6378 without a remainder.

1, 2, 3, 6, 1063, 2126, 3189, 6378

Least Common Multiple of 6370 and 6378 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 6378, than apply into the LCM equation.

GCF(6370,6378) = 2
LCM(6370,6378) = ( 6370 × 6378) / 2
LCM(6370,6378) = 40627860 / 2
LCM(6370,6378) = 20313930

Properties of LCM 6370 and 6378

(i) The LCM of 6378 and 6370 is associative

LCM of 6370 and 6378 = LCM of 6378 and 6370

Related Least Common Multiples of 6370

Related Least Common Multiples of 6378

Frequently Asked Questions on LCM of 6370 and 6378

1. What is the LCM of 6370 and 6378?

Answer: LCM of 6370 and 6378 is 20313930.

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 6378?

Answer: Factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378. There are 8 integers that are factors of 6378. The greatest factor of 6378 is 6378.

4. How to Find the LCM of 6370 and 6378?

Answer:

Least Common Multiple of 6370 and 6378 = 20313930

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 6378

6378 = 2 x 3 x 1063

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

LCM = 20313930 = 2 x 3 x 5 x 7 x 7 x 13 x 1063

Step 4: Therefore, the least common multiple of 6370 and 6378 is 20313930.