Least Common Multiple of 7278 and 7283

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 7283 the smallest integer that is 53005674 that is divisible by both numbers.

Least Common Multiple (LCM) of 7278 and 7283 is 53005674.

LCM(7278,7283) = 53005674

LCM of 7278 and 7283

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

LCM of:
and

Least Common Multiple of 7278 and 7283

LCM of 7278 and 7283 is 53005674

Least common multiple can be found by multiplying the highest exponent prime factors of 7278 and 7283. First we will calculate the prime factors of 7278 and 7283.

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 7283


7283 7283
1

Prime factors of 7283 are 7283. Prime factorization of 7283 in exponential form is:

7283 = 72831

Now multiplying the highest exponent prime factors to calculate the LCM of 7278 and 7283.

LCM(7278,7283) = 21×31×12131×72831
LCM(7278,7283) = 53005674

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 7283

List of positive integer factors of 7283 that divides 7283 without a remainder.

1, 7283

Least Common Multiple of 7278 and 7283 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 7283, than apply into the LCM equation.

GCF(7278,7283) = 1
LCM(7278,7283) = ( 7278 × 7283) / 1
LCM(7278,7283) = 53005674 / 1
LCM(7278,7283) = 53005674

Properties of LCM 7278 and 7283

(i) The LCM of 7283 and 7278 is associative

LCM of 7278 and 7283 = LCM of 7283 and 7278

Related Least Common Multiples of 7278

Related Least Common Multiples of 7283

Frequently Asked Questions on LCM of 7278 and 7283

1. What is the LCM of 7278 and 7283?

Answer: LCM of 7278 and 7283 is 53005674.

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 7283?

Answer: Factors of 7283 are 1, 7283. There are 2 integers that are factors of 7283. The greatest factor of 7283 is 7283.

4. How to Find the LCM of 7278 and 7283?

Answer:

Least Common Multiple of 7278 and 7283 = 53005674

Step 1: Find the prime factorization of 7278

7278 = 2 x 3 x 1213

Step 2: Find the prime factorization of 7283

7283 = 7283

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

LCM = 53005674 = 2 x 3 x 1213 x 7283

Step 4: Therefore, the least common multiple of 7278 and 7283 is 53005674.