Least Common Multiple of 7294 and 7299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7294 and 7299 the smallest integer that is 53238906 that is divisible by both numbers.

Least Common Multiple (LCM) of 7294 and 7299 is 53238906.

LCM(7294,7299) = 53238906

LCM of 7294 and 7299

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

LCM of:
and

Least Common Multiple of 7294 and 7299

LCM of 7294 and 7299 is 53238906

Least common multiple can be found by multiplying the highest exponent prime factors of 7294 and 7299. First we will calculate the prime factors of 7294 and 7299.

Prime Factorization of 7294


2 7294
7 3647
521 521
1

Prime factors of 7294 are 2, 7,521. Prime factorization of 7294 in exponential form is:

7294 = 21×71×5211

Prime Factorization of 7299


3 7299
3 2433
811 811
1

Prime factors of 7299 are 3,811. Prime factorization of 7299 in exponential form is:

7299 = 32×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 7294 and 7299.

LCM(7294,7299) = 21×32×71×5211×8111
LCM(7294,7299) = 53238906

Factors of 7294

List of positive integer factors of 7294 that divides 7294 without a remainder.

1, 2, 7, 14, 521, 1042, 3647, 7294

Factors of 7299

List of positive integer factors of 7299 that divides 7299 without a remainder.

1, 3, 9, 811, 2433, 7299

Least Common Multiple of 7294 and 7299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7294 and 7299, than apply into the LCM equation.

GCF(7294,7299) = 1
LCM(7294,7299) = ( 7294 × 7299) / 1
LCM(7294,7299) = 53238906 / 1
LCM(7294,7299) = 53238906

Properties of LCM 7294 and 7299

(i) The LCM of 7299 and 7294 is associative

LCM of 7294 and 7299 = LCM of 7299 and 7294

Related Least Common Multiples of 7294

Related Least Common Multiples of 7299

Frequently Asked Questions on LCM of 7294 and 7299

1. What is the LCM of 7294 and 7299?

Answer: LCM of 7294 and 7299 is 53238906.

2. What are the Factors of 7294?

Answer: Factors of 7294 are 1, 2, 7, 14, 521, 1042, 3647, 7294. There are 8 integers that are factors of 7294. The greatest factor of 7294 is 7294.

3. What are the Factors of 7299?

Answer: Factors of 7299 are 1, 3, 9, 811, 2433, 7299. There are 6 integers that are factors of 7299. The greatest factor of 7299 is 7299.

4. How to Find the LCM of 7294 and 7299?

Answer:

Least Common Multiple of 7294 and 7299 = 53238906

Step 1: Find the prime factorization of 7294

7294 = 2 x 7 x 521

Step 2: Find the prime factorization of 7299

7299 = 3 x 3 x 811

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

LCM = 53238906 = 2 x 3 x 3 x 7 x 521 x 811

Step 4: Therefore, the least common multiple of 7294 and 7299 is 53238906.