Least Common Multiple of 7278 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 7278 and 7279 the smallest integer that is 52976562 that is divisible by both numbers.

Least Common Multiple (LCM) of 7278 and 7279 is 52976562.

LCM(7278,7279) = 52976562

LCM of 7278 and 7279

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

LCM of:
and

Least Common Multiple of 7278 and 7279

LCM of 7278 and 7279 is 52976562

Least common multiple can be found by multiplying the highest exponent prime factors of 7278 and 7279. First we will calculate the prime factors of 7278 and 7279.

Prime Factorization of 7278


2 7278
3 3639
1213 1213
1

Prime factors of 7278 are 2, 3,1213. Prime factorization of 7278 in exponential form is:

7278 = 21×31×12131

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 7278 and 7279.

LCM(7278,7279) = 21×31×291×2511×12131
LCM(7278,7279) = 52976562

Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1, 2, 3, 6, 1213, 2426, 3639, 7278

Factors of 7279

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

1, 29, 251, 7279

Least Common Multiple of 7278 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 7278 and 7279, than apply into the LCM equation.

GCF(7278,7279) = 1
LCM(7278,7279) = ( 7278 × 7279) / 1
LCM(7278,7279) = 52976562 / 1
LCM(7278,7279) = 52976562

Properties of LCM 7278 and 7279

(i) The LCM of 7279 and 7278 is associative

LCM of 7278 and 7279 = LCM of 7279 and 7278

Related Least Common Multiples of 7278

Related Least Common Multiples of 7279

Frequently Asked Questions on LCM of 7278 and 7279

1. What is the LCM of 7278 and 7279?

Answer: LCM of 7278 and 7279 is 52976562.

2. What are the Factors of 7278?

Answer: Factors of 7278 are 1, 2, 3, 6, 1213, 2426, 3639, 7278. There are 8 integers that are factors of 7278. The greatest factor of 7278 is 7278.

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 7278 and 7279?

Answer:

Least Common Multiple of 7278 and 7279 = 52976562

Step 1: Find the prime factorization of 7278

7278 = 2 x 3 x 1213

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 = 52976562 = 2 x 3 x 29 x 251 x 1213

Step 4: Therefore, the least common multiple of 7278 and 7279 is 52976562.