Least Common Multiple of 460 and 463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 460 and 463 the smallest integer that is 212980 that is divisible by both numbers.

Least Common Multiple (LCM) of 460 and 463 is 212980.

LCM(460,463) = 212980

LCM of 460 and 463

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

LCM of:
and

Least Common Multiple of 460 and 463

LCM of 460 and 463 is 212980

Least common multiple can be found by multiplying the highest exponent prime factors of 460 and 463. First we will calculate the prime factors of 460 and 463.

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

Prime Factorization of 463


463 463
1

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 460 and 463.

LCM(460,463) = 22×51×231×4631
LCM(460,463) = 212980

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

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1, 463

Least Common Multiple of 460 and 463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 460 and 463, than apply into the LCM equation.

GCF(460,463) = 1
LCM(460,463) = ( 460 × 463) / 1
LCM(460,463) = 212980 / 1
LCM(460,463) = 212980

Properties of LCM 460 and 463

(i) The LCM of 463 and 460 is associative

LCM of 460 and 463 = LCM of 463 and 460

Related Least Common Multiples of 460

Related Least Common Multiples of 463

Frequently Asked Questions on LCM of 460 and 463

1. What is the LCM of 460 and 463?

Answer: LCM of 460 and 463 is 212980.

2. 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.

3. What are the Factors of 463?

Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.

4. How to Find the LCM of 460 and 463?

Answer:

Least Common Multiple of 460 and 463 = 212980

Step 1: Find the prime factorization of 460

460 = 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 463

463 = 463

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

LCM = 212980 = 2 x 2 x 5 x 23 x 463

Step 4: Therefore, the least common multiple of 460 and 463 is 212980.