Least Common Multiple of 7252 and 7258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7252 and 7258 the smallest integer that is 26317508 that is divisible by both numbers.

Least Common Multiple (LCM) of 7252 and 7258 is 26317508.

LCM(7252,7258) = 26317508

LCM of 7252 and 7258

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

LCM of:
and

Least Common Multiple of 7252 and 7258

LCM of 7252 and 7258 is 26317508

Least common multiple can be found by multiplying the highest exponent prime factors of 7252 and 7258. First we will calculate the prime factors of 7252 and 7258.

Prime Factorization of 7252


2 7252
2 3626
7 1813
7 259
37 37
1

Prime factors of 7252 are 2, 7,37. Prime factorization of 7252 in exponential form is:

7252 = 22×72×371

Prime Factorization of 7258


2 7258
19 3629
191 191
1

Prime factors of 7258 are 2, 19,191. Prime factorization of 7258 in exponential form is:

7258 = 21×191×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 7252 and 7258.

LCM(7252,7258) = 22×72×191×371×1911
LCM(7252,7258) = 26317508

Factors of 7252

List of positive integer factors of 7252 that divides 7252 without a remainder.

1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252

Factors of 7258

List of positive integer factors of 7258 that divides 7258 without a remainder.

1, 2, 19, 38, 191, 382, 3629, 7258

Least Common Multiple of 7252 and 7258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7252 and 7258, than apply into the LCM equation.

GCF(7252,7258) = 2
LCM(7252,7258) = ( 7252 × 7258) / 2
LCM(7252,7258) = 52635016 / 2
LCM(7252,7258) = 26317508

Properties of LCM 7252 and 7258

(i) The LCM of 7258 and 7252 is associative

LCM of 7252 and 7258 = LCM of 7258 and 7252

Related Least Common Multiples of 7252

Related Least Common Multiples of 7258

Frequently Asked Questions on LCM of 7252 and 7258

1. What is the LCM of 7252 and 7258?

Answer: LCM of 7252 and 7258 is 26317508.

2. What are the Factors of 7252?

Answer: Factors of 7252 are 1, 2, 4, 7, 14, 28, 37, 49, 74, 98, 148, 196, 259, 518, 1036, 1813, 3626, 7252. There are 18 integers that are factors of 7252. The greatest factor of 7252 is 7252.

3. What are the Factors of 7258?

Answer: Factors of 7258 are 1, 2, 19, 38, 191, 382, 3629, 7258. There are 8 integers that are factors of 7258. The greatest factor of 7258 is 7258.

4. How to Find the LCM of 7252 and 7258?

Answer:

Least Common Multiple of 7252 and 7258 = 26317508

Step 1: Find the prime factorization of 7252

7252 = 2 x 2 x 7 x 7 x 37

Step 2: Find the prime factorization of 7258

7258 = 2 x 19 x 191

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

LCM = 26317508 = 2 x 2 x 7 x 7 x 19 x 37 x 191

Step 4: Therefore, the least common multiple of 7252 and 7258 is 26317508.