Least Common Multiple of 7234 and 7240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7234 and 7240 the smallest integer that is 26187080 that is divisible by both numbers.

Least Common Multiple (LCM) of 7234 and 7240 is 26187080.

LCM(7234,7240) = 26187080

LCM of 7234 and 7240

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

LCM of:
and

Least Common Multiple of 7234 and 7240

LCM of 7234 and 7240 is 26187080

Least common multiple can be found by multiplying the highest exponent prime factors of 7234 and 7240. First we will calculate the prime factors of 7234 and 7240.

Prime Factorization of 7234


2 7234
3617 3617
1

Prime factors of 7234 are 2,3617. Prime factorization of 7234 in exponential form is:

7234 = 21×36171

Prime Factorization of 7240


2 7240
2 3620
2 1810
5 905
181 181
1

Prime factors of 7240 are 2, 5,181. Prime factorization of 7240 in exponential form is:

7240 = 23×51×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 7234 and 7240.

LCM(7234,7240) = 23×51×1811×36171
LCM(7234,7240) = 26187080

Factors of 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1, 2, 3617, 7234

Factors of 7240

List of positive integer factors of 7240 that divides 7240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240

Least Common Multiple of 7234 and 7240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7234 and 7240, than apply into the LCM equation.

GCF(7234,7240) = 2
LCM(7234,7240) = ( 7234 × 7240) / 2
LCM(7234,7240) = 52374160 / 2
LCM(7234,7240) = 26187080

Properties of LCM 7234 and 7240

(i) The LCM of 7240 and 7234 is associative

LCM of 7234 and 7240 = LCM of 7240 and 7234

Related Least Common Multiples of 7234

Related Least Common Multiples of 7240

Frequently Asked Questions on LCM of 7234 and 7240

1. What is the LCM of 7234 and 7240?

Answer: LCM of 7234 and 7240 is 26187080.

2. What are the Factors of 7234?

Answer: Factors of 7234 are 1, 2, 3617, 7234. There are 4 integers that are factors of 7234. The greatest factor of 7234 is 7234.

3. What are the Factors of 7240?

Answer: Factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240. There are 16 integers that are factors of 7240. The greatest factor of 7240 is 7240.

4. How to Find the LCM of 7234 and 7240?

Answer:

Least Common Multiple of 7234 and 7240 = 26187080

Step 1: Find the prime factorization of 7234

7234 = 2 x 3617

Step 2: Find the prime factorization of 7240

7240 = 2 x 2 x 2 x 5 x 181

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

LCM = 26187080 = 2 x 2 x 2 x 5 x 181 x 3617

Step 4: Therefore, the least common multiple of 7234 and 7240 is 26187080.