Least Common Multiple of 2248 and 2252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2248 and 2252 the smallest integer that is 1265624 that is divisible by both numbers.

Least Common Multiple (LCM) of 2248 and 2252 is 1265624.

LCM(2248,2252) = 1265624

LCM of 2248 and 2252

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

LCM of:
and

Least Common Multiple of 2248 and 2252

LCM of 2248 and 2252 is 1265624

Least common multiple can be found by multiplying the highest exponent prime factors of 2248 and 2252. First we will calculate the prime factors of 2248 and 2252.

Prime Factorization of 2248


2 2248
2 1124
2 562
281 281
1

Prime factors of 2248 are 2,281. Prime factorization of 2248 in exponential form is:

2248 = 23×2811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2248 and 2252.

LCM(2248,2252) = 23×2811×5631
LCM(2248,2252) = 1265624

Factors of 2248

List of positive integer factors of 2248 that divides 2248 without a remainder.

1, 2, 4, 8, 281, 562, 1124, 2248

Factors of 2252

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

1, 2, 4, 563, 1126, 2252

Least Common Multiple of 2248 and 2252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2248 and 2252, than apply into the LCM equation.

GCF(2248,2252) = 4
LCM(2248,2252) = ( 2248 × 2252) / 4
LCM(2248,2252) = 5062496 / 4
LCM(2248,2252) = 1265624

Properties of LCM 2248 and 2252

(i) The LCM of 2252 and 2248 is associative

LCM of 2248 and 2252 = LCM of 2252 and 2248

Related Least Common Multiples of 2248

Related Least Common Multiples of 2252

Frequently Asked Questions on LCM of 2248 and 2252

1. What is the LCM of 2248 and 2252?

Answer: LCM of 2248 and 2252 is 1265624.

2. What are the Factors of 2248?

Answer: Factors of 2248 are 1, 2, 4, 8, 281, 562, 1124, 2248. There are 8 integers that are factors of 2248. The greatest factor of 2248 is 2248.

3. 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.

4. How to Find the LCM of 2248 and 2252?

Answer:

Least Common Multiple of 2248 and 2252 = 1265624

Step 1: Find the prime factorization of 2248

2248 = 2 x 2 x 2 x 281

Step 2: Find the prime factorization of 2252

2252 = 2 x 2 x 563

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

LCM = 1265624 = 2 x 2 x 2 x 281 x 563

Step 4: Therefore, the least common multiple of 2248 and 2252 is 1265624.