Least Common Multiple of 452 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 452 and 460 the smallest integer that is 51980 that is divisible by both numbers.

Least Common Multiple (LCM) of 452 and 460 is 51980.

LCM(452,460) = 51980

LCM of 452 and 460

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

LCM of:
and

Least Common Multiple of 452 and 460

LCM of 452 and 460 is 51980

Least common multiple can be found by multiplying the highest exponent prime factors of 452 and 460. First we will calculate the prime factors of 452 and 460.

Prime Factorization of 452


2 452
2 226
113 113
1

Prime factors of 452 are 2,113. Prime factorization of 452 in exponential form is:

452 = 22×1131

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 452 and 460.

LCM(452,460) = 22×51×231×1131
LCM(452,460) = 51980

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 452 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 452 and 460, than apply into the LCM equation.

GCF(452,460) = 4
LCM(452,460) = ( 452 × 460) / 4
LCM(452,460) = 207920 / 4
LCM(452,460) = 51980

Properties of LCM 452 and 460

(i) The LCM of 460 and 452 is associative

LCM of 452 and 460 = LCM of 460 and 452

Related Least Common Multiples of 452

Related Least Common Multiples of 460

Frequently Asked Questions on LCM of 452 and 460

1. What is the LCM of 452 and 460?

Answer: LCM of 452 and 460 is 51980.

2. What are the Factors of 452?

Answer: Factors of 452 are 1, 2, 4, 113, 226, 452. There are 6 integers that are factors of 452. The greatest factor of 452 is 452.

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 452 and 460?

Answer:

Least Common Multiple of 452 and 460 = 51980

Step 1: Find the prime factorization of 452

452 = 2 x 2 x 113

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 = 51980 = 2 x 2 x 5 x 23 x 113

Step 4: Therefore, the least common multiple of 452 and 460 is 51980.