Least Common Multiple of 455 and 460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 455 and 460 the smallest integer that is 41860 that is divisible by both numbers.

Least Common Multiple (LCM) of 455 and 460 is 41860.

LCM(455,460) = 41860

LCM of 455 and 460

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

LCM of:
and

Least Common Multiple of 455 and 460

LCM of 455 and 460 is 41860

Least common multiple can be found by multiplying the highest exponent prime factors of 455 and 460. First we will calculate the prime factors of 455 and 460.

Prime Factorization of 455


5 455
7 91
13 13
1

Prime factors of 455 are 5, 7,13. Prime factorization of 455 in exponential form is:

455 = 51×71×131

Prime Factorization of 460


2 460
2 230
5 115
23 23
1

Prime factors of 460 are 2, 5,23. Prime factorization of 460 in exponential form is:

460 = 22×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 455 and 460.

LCM(455,460) = 22×51×71×131×231
LCM(455,460) = 41860

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Least Common Multiple of 455 and 460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 455 and 460, than apply into the LCM equation.

GCF(455,460) = 5
LCM(455,460) = ( 455 × 460) / 5
LCM(455,460) = 209300 / 5
LCM(455,460) = 41860

Properties of LCM 455 and 460

(i) The LCM of 460 and 455 is associative

LCM of 455 and 460 = LCM of 460 and 455

Related Least Common Multiples of 455

Related Least Common Multiples of 460

Frequently Asked Questions on LCM of 455 and 460

1. What is the LCM of 455 and 460?

Answer: LCM of 455 and 460 is 41860.

2. What are the Factors of 455?

Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.

3. What are the Factors of 460?

Answer: Factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460. There are 12 integers that are factors of 460. The greatest factor of 460 is 460.

4. How to Find the LCM of 455 and 460?

Answer:

Least Common Multiple of 455 and 460 = 41860

Step 1: Find the prime factorization of 455

455 = 5 x 7 x 13

Step 2: Find the prime factorization of 460

460 = 2 x 2 x 5 x 23

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

LCM = 41860 = 2 x 2 x 5 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 455 and 460 is 41860.