Least Common Multiple of 6373 and 6376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 6373 and 6376 the smallest integer that is 40634248 that is divisible by both numbers.

Least Common Multiple (LCM) of 6373 and 6376 is 40634248.

LCM(6373,6376) = 40634248

LCM of 6373 and 6376

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

LCM of:
and

Least Common Multiple of 6373 and 6376

LCM of 6373 and 6376 is 40634248

Least common multiple can be found by multiplying the highest exponent prime factors of 6373 and 6376. First we will calculate the prime factors of 6373 and 6376.

Prime Factorization of 6373


6373 6373
1

Prime factors of 6373 are 6373. Prime factorization of 6373 in exponential form is:

6373 = 63731

Prime Factorization of 6376


2 6376
2 3188
2 1594
797 797
1

Prime factors of 6376 are 2,797. Prime factorization of 6376 in exponential form is:

6376 = 23×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 6373 and 6376.

LCM(6373,6376) = 23×7971×63731
LCM(6373,6376) = 40634248

Factors of 6373

List of positive integer factors of 6373 that divides 6373 without a remainder.

1, 6373

Factors of 6376

List of positive integer factors of 6376 that divides 6376 without a remainder.

1, 2, 4, 8, 797, 1594, 3188, 6376

Least Common Multiple of 6373 and 6376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6373 and 6376, than apply into the LCM equation.

GCF(6373,6376) = 1
LCM(6373,6376) = ( 6373 × 6376) / 1
LCM(6373,6376) = 40634248 / 1
LCM(6373,6376) = 40634248

Properties of LCM 6373 and 6376

(i) The LCM of 6376 and 6373 is associative

LCM of 6373 and 6376 = LCM of 6376 and 6373

Frequently Asked Questions on LCM of 6373 and 6376

1. What is the LCM of 6373 and 6376?

Answer: LCM of 6373 and 6376 is 40634248.

2. What are the Factors of 6373?

Answer: Factors of 6373 are 1, 6373. There are 2 integers that are factors of 6373. The greatest factor of 6373 is 6373.

3. What are the Factors of 6376?

Answer: Factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376. There are 8 integers that are factors of 6376. The greatest factor of 6376 is 6376.

4. How to Find the LCM of 6373 and 6376?

Answer:

Least Common Multiple of 6373 and 6376 = 40634248

Step 1: Find the prime factorization of 6373

6373 = 6373

Step 2: Find the prime factorization of 6376

6376 = 2 x 2 x 2 x 797

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

LCM = 40634248 = 2 x 2 x 2 x 797 x 6373

Step 4: Therefore, the least common multiple of 6373 and 6376 is 40634248.