Least Common Multiple of 6369 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 6369 and 6374 the smallest integer that is 40596006 that is divisible by both numbers.

Least Common Multiple (LCM) of 6369 and 6374 is 40596006.

LCM(6369,6374) = 40596006

LCM of 6369 and 6374

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

LCM of:
and

Least Common Multiple of 6369 and 6374

LCM of 6369 and 6374 is 40596006

Least common multiple can be found by multiplying the highest exponent prime factors of 6369 and 6374. First we will calculate the prime factors of 6369 and 6374.

Prime Factorization of 6369


3 6369
11 2123
193 193
1

Prime factors of 6369 are 3, 11,193. Prime factorization of 6369 in exponential form is:

6369 = 31×111×1931

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 6369 and 6374.

LCM(6369,6374) = 21×31×111×1931×31871
LCM(6369,6374) = 40596006

Factors of 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1, 3, 11, 33, 193, 579, 2123, 6369

Factors of 6374

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

1, 2, 3187, 6374

Least Common Multiple of 6369 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 6369 and 6374, than apply into the LCM equation.

GCF(6369,6374) = 1
LCM(6369,6374) = ( 6369 × 6374) / 1
LCM(6369,6374) = 40596006 / 1
LCM(6369,6374) = 40596006

Properties of LCM 6369 and 6374

(i) The LCM of 6374 and 6369 is associative

LCM of 6369 and 6374 = LCM of 6374 and 6369

Related Least Common Multiples of 6369

Related Least Common Multiples of 6374

Frequently Asked Questions on LCM of 6369 and 6374

1. What is the LCM of 6369 and 6374?

Answer: LCM of 6369 and 6374 is 40596006.

2. What are the Factors of 6369?

Answer: Factors of 6369 are 1, 3, 11, 33, 193, 579, 2123, 6369. There are 8 integers that are factors of 6369. The greatest factor of 6369 is 6369.

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 6369 and 6374?

Answer:

Least Common Multiple of 6369 and 6374 = 40596006

Step 1: Find the prime factorization of 6369

6369 = 3 x 11 x 193

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 = 40596006 = 2 x 3 x 11 x 193 x 3187

Step 4: Therefore, the least common multiple of 6369 and 6374 is 40596006.