Least Common Multiple of 4453 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 4453 and 4460 the smallest integer that is 19860380 that is divisible by both numbers.

Least Common Multiple (LCM) of 4453 and 4460 is 19860380.

LCM(4453,4460) = 19860380

LCM of 4453 and 4460

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

LCM of:
and

Least Common Multiple of 4453 and 4460

LCM of 4453 and 4460 is 19860380

Least common multiple can be found by multiplying the highest exponent prime factors of 4453 and 4460. First we will calculate the prime factors of 4453 and 4460.

Prime Factorization of 4453


61 4453
73 73
1

Prime factors of 4453 are 61,73. Prime factorization of 4453 in exponential form is:

4453 = 611×731

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 4453 and 4460.

LCM(4453,4460) = 22×51×611×731×2231
LCM(4453,4460) = 19860380

Factors of 4453

List of positive integer factors of 4453 that divides 4453 without a remainder.

1, 61, 73, 4453

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 4453 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 4453 and 4460, than apply into the LCM equation.

GCF(4453,4460) = 1
LCM(4453,4460) = ( 4453 × 4460) / 1
LCM(4453,4460) = 19860380 / 1
LCM(4453,4460) = 19860380

Properties of LCM 4453 and 4460

(i) The LCM of 4460 and 4453 is associative

LCM of 4453 and 4460 = LCM of 4460 and 4453

Related Least Common Multiples of 4453

Related Least Common Multiples of 4460

Frequently Asked Questions on LCM of 4453 and 4460

1. What is the LCM of 4453 and 4460?

Answer: LCM of 4453 and 4460 is 19860380.

2. What are the Factors of 4453?

Answer: Factors of 4453 are 1, 61, 73, 4453. There are 4 integers that are factors of 4453. The greatest factor of 4453 is 4453.

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 4453 and 4460?

Answer:

Least Common Multiple of 4453 and 4460 = 19860380

Step 1: Find the prime factorization of 4453

4453 = 61 x 73

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 = 19860380 = 2 x 2 x 5 x 61 x 73 x 223

Step 4: Therefore, the least common multiple of 4453 and 4460 is 19860380.