Least Common Multiple of 6362 and 6370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6362 and 6370 the smallest integer that is 20262970 that is divisible by both numbers.

Least Common Multiple (LCM) of 6362 and 6370 is 20262970.

LCM(6362,6370) = 20262970

LCM of 6362 and 6370

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

LCM of:
and

Least Common Multiple of 6362 and 6370

LCM of 6362 and 6370 is 20262970

Least common multiple can be found by multiplying the highest exponent prime factors of 6362 and 6370. First we will calculate the prime factors of 6362 and 6370.

Prime Factorization of 6362


2 6362
3181 3181
1

Prime factors of 6362 are 2,3181. Prime factorization of 6362 in exponential form is:

6362 = 21×31811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6362 and 6370.

LCM(6362,6370) = 21×51×72×131×31811
LCM(6362,6370) = 20262970

Factors of 6362

List of positive integer factors of 6362 that divides 6362 without a remainder.

1, 2, 3181, 6362

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

Least Common Multiple of 6362 and 6370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6362 and 6370, than apply into the LCM equation.

GCF(6362,6370) = 2
LCM(6362,6370) = ( 6362 × 6370) / 2
LCM(6362,6370) = 40525940 / 2
LCM(6362,6370) = 20262970

Properties of LCM 6362 and 6370

(i) The LCM of 6370 and 6362 is associative

LCM of 6362 and 6370 = LCM of 6370 and 6362

Related Least Common Multiples of 6362

Related Least Common Multiples of 6370

Frequently Asked Questions on LCM of 6362 and 6370

1. What is the LCM of 6362 and 6370?

Answer: LCM of 6362 and 6370 is 20262970.

2. What are the Factors of 6362?

Answer: Factors of 6362 are 1, 2, 3181, 6362. There are 4 integers that are factors of 6362. The greatest factor of 6362 is 6362.

3. 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.

4. How to Find the LCM of 6362 and 6370?

Answer:

Least Common Multiple of 6362 and 6370 = 20262970

Step 1: Find the prime factorization of 6362

6362 = 2 x 3181

Step 2: Find the prime factorization of 6370

6370 = 2 x 5 x 7 x 7 x 13

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

LCM = 20262970 = 2 x 5 x 7 x 7 x 13 x 3181

Step 4: Therefore, the least common multiple of 6362 and 6370 is 20262970.