Least Common Multiple of 461 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 461 and 463 the smallest integer that is 213443 that is divisible by both numbers.

Least Common Multiple (LCM) of 461 and 463 is 213443.

LCM(461,463) = 213443

LCM of 461 and 463

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

LCM of:
and

Least Common Multiple of 461 and 463

LCM of 461 and 463 is 213443

Least common multiple can be found by multiplying the highest exponent prime factors of 461 and 463. First we will calculate the prime factors of 461 and 463.

Prime Factorization of 461


461 461
1

Prime factors of 461 are 461. Prime factorization of 461 in exponential form is:

461 = 4611

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 461 and 463.

LCM(461,463) = 4611×4631
LCM(461,463) = 213443

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1, 461

Factors of 463

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

1, 463

Least Common Multiple of 461 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 461 and 463, than apply into the LCM equation.

GCF(461,463) = 1
LCM(461,463) = ( 461 × 463) / 1
LCM(461,463) = 213443 / 1
LCM(461,463) = 213443

Properties of LCM 461 and 463

(i) The LCM of 463 and 461 is associative

LCM of 461 and 463 = LCM of 463 and 461

Related Least Common Multiples of 461

Related Least Common Multiples of 463

Frequently Asked Questions on LCM of 461 and 463

1. What is the LCM of 461 and 463?

Answer: LCM of 461 and 463 is 213443.

2. What are the Factors of 461?

Answer: Factors of 461 are 1, 461. There are 2 integers that are factors of 461. The greatest factor of 461 is 461.

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 461 and 463?

Answer:

Least Common Multiple of 461 and 463 = 213443

Step 1: Find the prime factorization of 461

461 = 461

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 = 213443 = 461 x 463

Step 4: Therefore, the least common multiple of 461 and 463 is 213443.