Least Common Multiple of 4456 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 4456 and 4460 the smallest integer that is 4968440 that is divisible by both numbers.

Least Common Multiple (LCM) of 4456 and 4460 is 4968440.

LCM(4456,4460) = 4968440

LCM of 4456 and 4460

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

LCM of:
and

Least Common Multiple of 4456 and 4460

LCM of 4456 and 4460 is 4968440

Least common multiple can be found by multiplying the highest exponent prime factors of 4456 and 4460. First we will calculate the prime factors of 4456 and 4460.

Prime Factorization of 4456


2 4456
2 2228
2 1114
557 557
1

Prime factors of 4456 are 2,557. Prime factorization of 4456 in exponential form is:

4456 = 23×5571

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 4456 and 4460.

LCM(4456,4460) = 23×51×2231×5571
LCM(4456,4460) = 4968440

Factors of 4456

List of positive integer factors of 4456 that divides 4456 without a remainder.

1, 2, 4, 8, 557, 1114, 2228, 4456

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 4456 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 4456 and 4460, than apply into the LCM equation.

GCF(4456,4460) = 4
LCM(4456,4460) = ( 4456 × 4460) / 4
LCM(4456,4460) = 19873760 / 4
LCM(4456,4460) = 4968440

Properties of LCM 4456 and 4460

(i) The LCM of 4460 and 4456 is associative

LCM of 4456 and 4460 = LCM of 4460 and 4456

Related Least Common Multiples of 4456

Related Least Common Multiples of 4460

Frequently Asked Questions on LCM of 4456 and 4460

1. What is the LCM of 4456 and 4460?

Answer: LCM of 4456 and 4460 is 4968440.

2. What are the Factors of 4456?

Answer: Factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456. There are 8 integers that are factors of 4456. The greatest factor of 4456 is 4456.

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 4456 and 4460?

Answer:

Least Common Multiple of 4456 and 4460 = 4968440

Step 1: Find the prime factorization of 4456

4456 = 2 x 2 x 2 x 557

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 = 4968440 = 2 x 2 x 2 x 5 x 223 x 557

Step 4: Therefore, the least common multiple of 4456 and 4460 is 4968440.