Least Common Multiple of 4248 and 4252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4248 and 4252 the smallest integer that is 4515624 that is divisible by both numbers.

Least Common Multiple (LCM) of 4248 and 4252 is 4515624.

LCM(4248,4252) = 4515624

LCM of 4248 and 4252

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

LCM of:
and

Least Common Multiple of 4248 and 4252

LCM of 4248 and 4252 is 4515624

Least common multiple can be found by multiplying the highest exponent prime factors of 4248 and 4252. First we will calculate the prime factors of 4248 and 4252.

Prime Factorization of 4248


2 4248
2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 4248 are 2, 3,59. Prime factorization of 4248 in exponential form is:

4248 = 23×32×591

Prime Factorization of 4252


2 4252
2 2126
1063 1063
1

Prime factors of 4252 are 2,1063. Prime factorization of 4252 in exponential form is:

4252 = 22×10631

Now multiplying the highest exponent prime factors to calculate the LCM of 4248 and 4252.

LCM(4248,4252) = 23×32×591×10631
LCM(4248,4252) = 4515624

Factors of 4248

List of positive integer factors of 4248 that divides 4248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248

Factors of 4252

List of positive integer factors of 4252 that divides 4252 without a remainder.

1, 2, 4, 1063, 2126, 4252

Least Common Multiple of 4248 and 4252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4248 and 4252, than apply into the LCM equation.

GCF(4248,4252) = 4
LCM(4248,4252) = ( 4248 × 4252) / 4
LCM(4248,4252) = 18062496 / 4
LCM(4248,4252) = 4515624

Properties of LCM 4248 and 4252

(i) The LCM of 4252 and 4248 is associative

LCM of 4248 and 4252 = LCM of 4252 and 4248

Related Least Common Multiples of 4248

Related Least Common Multiples of 4252

Frequently Asked Questions on LCM of 4248 and 4252

1. What is the LCM of 4248 and 4252?

Answer: LCM of 4248 and 4252 is 4515624.

2. What are the Factors of 4248?

Answer: Factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248. There are 24 integers that are factors of 4248. The greatest factor of 4248 is 4248.

3. What are the Factors of 4252?

Answer: Factors of 4252 are 1, 2, 4, 1063, 2126, 4252. There are 6 integers that are factors of 4252. The greatest factor of 4252 is 4252.

4. How to Find the LCM of 4248 and 4252?

Answer:

Least Common Multiple of 4248 and 4252 = 4515624

Step 1: Find the prime factorization of 4248

4248 = 2 x 2 x 2 x 3 x 3 x 59

Step 2: Find the prime factorization of 4252

4252 = 2 x 2 x 1063

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

LCM = 4515624 = 2 x 2 x 2 x 3 x 3 x 59 x 1063

Step 4: Therefore, the least common multiple of 4248 and 4252 is 4515624.