Least Common Multiple of 7274 and 7279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7274 and 7279 the smallest integer that is 52947446 that is divisible by both numbers.

Least Common Multiple (LCM) of 7274 and 7279 is 52947446.

LCM(7274,7279) = 52947446

LCM of 7274 and 7279

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

LCM of:
and

Least Common Multiple of 7274 and 7279

LCM of 7274 and 7279 is 52947446

Least common multiple can be found by multiplying the highest exponent prime factors of 7274 and 7279. First we will calculate the prime factors of 7274 and 7279.

Prime Factorization of 7274


2 7274
3637 3637
1

Prime factors of 7274 are 2,3637. Prime factorization of 7274 in exponential form is:

7274 = 21×36371

Prime Factorization of 7279


29 7279
251 251
1

Prime factors of 7279 are 29,251. Prime factorization of 7279 in exponential form is:

7279 = 291×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 7274 and 7279.

LCM(7274,7279) = 21×291×2511×36371
LCM(7274,7279) = 52947446

Factors of 7274

List of positive integer factors of 7274 that divides 7274 without a remainder.

1, 2, 3637, 7274

Factors of 7279

List of positive integer factors of 7279 that divides 7279 without a remainder.

1, 29, 251, 7279

Least Common Multiple of 7274 and 7279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7274 and 7279, than apply into the LCM equation.

GCF(7274,7279) = 1
LCM(7274,7279) = ( 7274 × 7279) / 1
LCM(7274,7279) = 52947446 / 1
LCM(7274,7279) = 52947446

Properties of LCM 7274 and 7279

(i) The LCM of 7279 and 7274 is associative

LCM of 7274 and 7279 = LCM of 7279 and 7274

Related Least Common Multiples of 7274

Related Least Common Multiples of 7279

Frequently Asked Questions on LCM of 7274 and 7279

1. What is the LCM of 7274 and 7279?

Answer: LCM of 7274 and 7279 is 52947446.

2. What are the Factors of 7274?

Answer: Factors of 7274 are 1, 2, 3637, 7274. There are 4 integers that are factors of 7274. The greatest factor of 7274 is 7274.

3. What are the Factors of 7279?

Answer: Factors of 7279 are 1, 29, 251, 7279. There are 4 integers that are factors of 7279. The greatest factor of 7279 is 7279.

4. How to Find the LCM of 7274 and 7279?

Answer:

Least Common Multiple of 7274 and 7279 = 52947446

Step 1: Find the prime factorization of 7274

7274 = 2 x 3637

Step 2: Find the prime factorization of 7279

7279 = 29 x 251

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

LCM = 52947446 = 2 x 29 x 251 x 3637

Step 4: Therefore, the least common multiple of 7274 and 7279 is 52947446.