Least Common Multiple of 6368 and 6374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6368 and 6374 the smallest integer that is 20294816 that is divisible by both numbers.

Least Common Multiple (LCM) of 6368 and 6374 is 20294816.

LCM(6368,6374) = 20294816

LCM of 6368 and 6374

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

LCM of:
and

Least Common Multiple of 6368 and 6374

LCM of 6368 and 6374 is 20294816

Least common multiple can be found by multiplying the highest exponent prime factors of 6368 and 6374. First we will calculate the prime factors of 6368 and 6374.

Prime Factorization of 6368


2 6368
2 3184
2 1592
2 796
2 398
199 199
1

Prime factors of 6368 are 2,199. Prime factorization of 6368 in exponential form is:

6368 = 25×1991

Prime Factorization of 6374


2 6374
3187 3187
1

Prime factors of 6374 are 2,3187. Prime factorization of 6374 in exponential form is:

6374 = 21×31871

Now multiplying the highest exponent prime factors to calculate the LCM of 6368 and 6374.

LCM(6368,6374) = 25×1991×31871
LCM(6368,6374) = 20294816

Factors of 6368

List of positive integer factors of 6368 that divides 6368 without a remainder.

1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368

Factors of 6374

List of positive integer factors of 6374 that divides 6374 without a remainder.

1, 2, 3187, 6374

Least Common Multiple of 6368 and 6374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6368 and 6374, than apply into the LCM equation.

GCF(6368,6374) = 2
LCM(6368,6374) = ( 6368 × 6374) / 2
LCM(6368,6374) = 40589632 / 2
LCM(6368,6374) = 20294816

Properties of LCM 6368 and 6374

(i) The LCM of 6374 and 6368 is associative

LCM of 6368 and 6374 = LCM of 6374 and 6368

Related Least Common Multiples of 6368

Related Least Common Multiples of 6374

Frequently Asked Questions on LCM of 6368 and 6374

1. What is the LCM of 6368 and 6374?

Answer: LCM of 6368 and 6374 is 20294816.

2. What are the Factors of 6368?

Answer: Factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368. There are 12 integers that are factors of 6368. The greatest factor of 6368 is 6368.

3. What are the Factors of 6374?

Answer: Factors of 6374 are 1, 2, 3187, 6374. There are 4 integers that are factors of 6374. The greatest factor of 6374 is 6374.

4. How to Find the LCM of 6368 and 6374?

Answer:

Least Common Multiple of 6368 and 6374 = 20294816

Step 1: Find the prime factorization of 6368

6368 = 2 x 2 x 2 x 2 x 2 x 199

Step 2: Find the prime factorization of 6374

6374 = 2 x 3187

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

LCM = 20294816 = 2 x 2 x 2 x 2 x 2 x 199 x 3187

Step 4: Therefore, the least common multiple of 6368 and 6374 is 20294816.