Least Common Multiple of 2252 and 2257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2252 and 2257 the smallest integer that is 5082764 that is divisible by both numbers.

Least Common Multiple (LCM) of 2252 and 2257 is 5082764.

LCM(2252,2257) = 5082764

LCM of 2252 and 2257

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

LCM of:
and

Least Common Multiple of 2252 and 2257

LCM of 2252 and 2257 is 5082764

Least common multiple can be found by multiplying the highest exponent prime factors of 2252 and 2257. First we will calculate the prime factors of 2252 and 2257.

Prime Factorization of 2252


2 2252
2 1126
563 563
1

Prime factors of 2252 are 2,563. Prime factorization of 2252 in exponential form is:

2252 = 22×5631

Prime Factorization of 2257


37 2257
61 61
1

Prime factors of 2257 are 37,61. Prime factorization of 2257 in exponential form is:

2257 = 371×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2252 and 2257.

LCM(2252,2257) = 22×371×611×5631
LCM(2252,2257) = 5082764

Factors of 2252

List of positive integer factors of 2252 that divides 2252 without a remainder.

1, 2, 4, 563, 1126, 2252

Factors of 2257

List of positive integer factors of 2257 that divides 2257 without a remainder.

1, 37, 61, 2257

Least Common Multiple of 2252 and 2257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2252 and 2257, than apply into the LCM equation.

GCF(2252,2257) = 1
LCM(2252,2257) = ( 2252 × 2257) / 1
LCM(2252,2257) = 5082764 / 1
LCM(2252,2257) = 5082764

Properties of LCM 2252 and 2257

(i) The LCM of 2257 and 2252 is associative

LCM of 2252 and 2257 = LCM of 2257 and 2252

Related Least Common Multiples of 2252

Related Least Common Multiples of 2257

Frequently Asked Questions on LCM of 2252 and 2257

1. What is the LCM of 2252 and 2257?

Answer: LCM of 2252 and 2257 is 5082764.

2. What are the Factors of 2252?

Answer: Factors of 2252 are 1, 2, 4, 563, 1126, 2252. There are 6 integers that are factors of 2252. The greatest factor of 2252 is 2252.

3. What are the Factors of 2257?

Answer: Factors of 2257 are 1, 37, 61, 2257. There are 4 integers that are factors of 2257. The greatest factor of 2257 is 2257.

4. How to Find the LCM of 2252 and 2257?

Answer:

Least Common Multiple of 2252 and 2257 = 5082764

Step 1: Find the prime factorization of 2252

2252 = 2 x 2 x 563

Step 2: Find the prime factorization of 2257

2257 = 37 x 61

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

LCM = 5082764 = 2 x 2 x 37 x 61 x 563

Step 4: Therefore, the least common multiple of 2252 and 2257 is 5082764.