Least Common Multiple of 4452 and 4460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4452 and 4460 the smallest integer that is 4963980 that is divisible by both numbers.

Least Common Multiple (LCM) of 4452 and 4460 is 4963980.

LCM(4452,4460) = 4963980

LCM of 4452 and 4460

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

LCM of:
and

Least Common Multiple of 4452 and 4460

LCM of 4452 and 4460 is 4963980

Least common multiple can be found by multiplying the highest exponent prime factors of 4452 and 4460. First we will calculate the prime factors of 4452 and 4460.

Prime Factorization of 4452


2 4452
2 2226
3 1113
7 371
53 53
1

Prime factors of 4452 are 2, 3, 7,53. Prime factorization of 4452 in exponential form is:

4452 = 22×31×71×531

Prime Factorization of 4460


2 4460
2 2230
5 1115
223 223
1

Prime factors of 4460 are 2, 5,223. Prime factorization of 4460 in exponential form is:

4460 = 22×51×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 4452 and 4460.

LCM(4452,4460) = 22×31×51×71×531×2231
LCM(4452,4460) = 4963980

Factors of 4452

List of positive integer factors of 4452 that divides 4452 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460

Least Common Multiple of 4452 and 4460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4452 and 4460, than apply into the LCM equation.

GCF(4452,4460) = 4
LCM(4452,4460) = ( 4452 × 4460) / 4
LCM(4452,4460) = 19855920 / 4
LCM(4452,4460) = 4963980

Properties of LCM 4452 and 4460

(i) The LCM of 4460 and 4452 is associative

LCM of 4452 and 4460 = LCM of 4460 and 4452

Related Least Common Multiples of 4452

Related Least Common Multiples of 4460

Frequently Asked Questions on LCM of 4452 and 4460

1. What is the LCM of 4452 and 4460?

Answer: LCM of 4452 and 4460 is 4963980.

2. What are the Factors of 4452?

Answer: Factors of 4452 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226, 4452. There are 24 integers that are factors of 4452. The greatest factor of 4452 is 4452.

3. What are the Factors of 4460?

Answer: Factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460. There are 12 integers that are factors of 4460. The greatest factor of 4460 is 4460.

4. How to Find the LCM of 4452 and 4460?

Answer:

Least Common Multiple of 4452 and 4460 = 4963980

Step 1: Find the prime factorization of 4452

4452 = 2 x 2 x 3 x 7 x 53

Step 2: Find the prime factorization of 4460

4460 = 2 x 2 x 5 x 223

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

LCM = 4963980 = 2 x 2 x 3 x 5 x 7 x 53 x 223

Step 4: Therefore, the least common multiple of 4452 and 4460 is 4963980.