Least Common Multiple of 4248 and 4253

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 4253 the smallest integer that is 18066744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4248 and 4253 is 18066744.

LCM(4248,4253) = 18066744

LCM of 4248 and 4253

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

LCM of:
and

Least Common Multiple of 4248 and 4253

LCM of 4248 and 4253 is 18066744

Least common multiple can be found by multiplying the highest exponent prime factors of 4248 and 4253. First we will calculate the prime factors of 4248 and 4253.

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 4253


4253 4253
1

Prime factors of 4253 are 4253. Prime factorization of 4253 in exponential form is:

4253 = 42531

Now multiplying the highest exponent prime factors to calculate the LCM of 4248 and 4253.

LCM(4248,4253) = 23×32×591×42531
LCM(4248,4253) = 18066744

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 4253

List of positive integer factors of 4253 that divides 4253 without a remainder.

1, 4253

Least Common Multiple of 4248 and 4253 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 4253, than apply into the LCM equation.

GCF(4248,4253) = 1
LCM(4248,4253) = ( 4248 × 4253) / 1
LCM(4248,4253) = 18066744 / 1
LCM(4248,4253) = 18066744

Properties of LCM 4248 and 4253

(i) The LCM of 4253 and 4248 is associative

LCM of 4248 and 4253 = LCM of 4253 and 4248

Related Least Common Multiples of 4248

Related Least Common Multiples of 4253

Frequently Asked Questions on LCM of 4248 and 4253

1. What is the LCM of 4248 and 4253?

Answer: LCM of 4248 and 4253 is 18066744.

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 4253?

Answer: Factors of 4253 are 1, 4253. There are 2 integers that are factors of 4253. The greatest factor of 4253 is 4253.

4. How to Find the LCM of 4248 and 4253?

Answer:

Least Common Multiple of 4248 and 4253 = 18066744

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 4253

4253 = 4253

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

LCM = 18066744 = 2 x 2 x 2 x 3 x 3 x 59 x 4253

Step 4: Therefore, the least common multiple of 4248 and 4253 is 18066744.