Least Common Multiple of 456 and 461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 456 and 461 the smallest integer that is 210216 that is divisible by both numbers.

Least Common Multiple (LCM) of 456 and 461 is 210216.

LCM(456,461) = 210216

LCM of 456 and 461

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

LCM of:
and

Least Common Multiple of 456 and 461

LCM of 456 and 461 is 210216

Least common multiple can be found by multiplying the highest exponent prime factors of 456 and 461. First we will calculate the prime factors of 456 and 461.

Prime Factorization of 456


2 456
2 228
2 114
3 57
19 19
1

Prime factors of 456 are 2, 3,19. Prime factorization of 456 in exponential form is:

456 = 23×31×191

Prime Factorization of 461


461 461
1

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

461 = 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 456 and 461.

LCM(456,461) = 23×31×191×4611
LCM(456,461) = 210216

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Factors of 461

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

1, 461

Least Common Multiple of 456 and 461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 456 and 461, than apply into the LCM equation.

GCF(456,461) = 1
LCM(456,461) = ( 456 × 461) / 1
LCM(456,461) = 210216 / 1
LCM(456,461) = 210216

Properties of LCM 456 and 461

(i) The LCM of 461 and 456 is associative

LCM of 456 and 461 = LCM of 461 and 456

Related Least Common Multiples of 456

Related Least Common Multiples of 461

Frequently Asked Questions on LCM of 456 and 461

1. What is the LCM of 456 and 461?

Answer: LCM of 456 and 461 is 210216.

2. What are the Factors of 456?

Answer: Factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456. There are 16 integers that are factors of 456. The greatest factor of 456 is 456.

3. 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.

4. How to Find the LCM of 456 and 461?

Answer:

Least Common Multiple of 456 and 461 = 210216

Step 1: Find the prime factorization of 456

456 = 2 x 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 461

461 = 461

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

LCM = 210216 = 2 x 2 x 2 x 3 x 19 x 461

Step 4: Therefore, the least common multiple of 456 and 461 is 210216.