Least Common Multiple of 7254 and 7262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7254 and 7262 the smallest integer that is 26339274 that is divisible by both numbers.

Least Common Multiple (LCM) of 7254 and 7262 is 26339274.

LCM(7254,7262) = 26339274

LCM of 7254 and 7262

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

LCM of:
and

Least Common Multiple of 7254 and 7262

LCM of 7254 and 7262 is 26339274

Least common multiple can be found by multiplying the highest exponent prime factors of 7254 and 7262. First we will calculate the prime factors of 7254 and 7262.

Prime Factorization of 7254


2 7254
3 3627
3 1209
13 403
31 31
1

Prime factors of 7254 are 2, 3, 13,31. Prime factorization of 7254 in exponential form is:

7254 = 21×32×131×311

Prime Factorization of 7262


2 7262
3631 3631
1

Prime factors of 7262 are 2,3631. Prime factorization of 7262 in exponential form is:

7262 = 21×36311

Now multiplying the highest exponent prime factors to calculate the LCM of 7254 and 7262.

LCM(7254,7262) = 21×32×131×311×36311
LCM(7254,7262) = 26339274

Factors of 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254

Factors of 7262

List of positive integer factors of 7262 that divides 7262 without a remainder.

1, 2, 3631, 7262

Least Common Multiple of 7254 and 7262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7254 and 7262, than apply into the LCM equation.

GCF(7254,7262) = 2
LCM(7254,7262) = ( 7254 × 7262) / 2
LCM(7254,7262) = 52678548 / 2
LCM(7254,7262) = 26339274

Properties of LCM 7254 and 7262

(i) The LCM of 7262 and 7254 is associative

LCM of 7254 and 7262 = LCM of 7262 and 7254

Related Least Common Multiples of 7254

Related Least Common Multiples of 7262

Frequently Asked Questions on LCM of 7254 and 7262

1. What is the LCM of 7254 and 7262?

Answer: LCM of 7254 and 7262 is 26339274.

2. What are the Factors of 7254?

Answer: Factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254. There are 24 integers that are factors of 7254. The greatest factor of 7254 is 7254.

3. What are the Factors of 7262?

Answer: Factors of 7262 are 1, 2, 3631, 7262. There are 4 integers that are factors of 7262. The greatest factor of 7262 is 7262.

4. How to Find the LCM of 7254 and 7262?

Answer:

Least Common Multiple of 7254 and 7262 = 26339274

Step 1: Find the prime factorization of 7254

7254 = 2 x 3 x 3 x 13 x 31

Step 2: Find the prime factorization of 7262

7262 = 2 x 3631

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

LCM = 26339274 = 2 x 3 x 3 x 13 x 31 x 3631

Step 4: Therefore, the least common multiple of 7254 and 7262 is 26339274.