Least Common Multiple of 468 and 476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 468 and 476 the smallest integer that is 55692 that is divisible by both numbers.

Least Common Multiple (LCM) of 468 and 476 is 55692.

LCM(468,476) = 55692

LCM of 468 and 476

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

LCM of:
and

Least Common Multiple of 468 and 476

LCM of 468 and 476 is 55692

Least common multiple can be found by multiplying the highest exponent prime factors of 468 and 476. First we will calculate the prime factors of 468 and 476.

Prime Factorization of 468


2 468
2 234
3 117
3 39
13 13
1

Prime factors of 468 are 2, 3,13. Prime factorization of 468 in exponential form is:

468 = 22×32×131

Prime Factorization of 476


2 476
2 238
7 119
17 17
1

Prime factors of 476 are 2, 7,17. Prime factorization of 476 in exponential form is:

476 = 22×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 468 and 476.

LCM(468,476) = 22×32×71×131×171
LCM(468,476) = 55692

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Least Common Multiple of 468 and 476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 468 and 476, than apply into the LCM equation.

GCF(468,476) = 4
LCM(468,476) = ( 468 × 476) / 4
LCM(468,476) = 222768 / 4
LCM(468,476) = 55692

Properties of LCM 468 and 476

(i) The LCM of 476 and 468 is associative

LCM of 468 and 476 = LCM of 476 and 468

Related Least Common Multiples of 468

Related Least Common Multiples of 476

Frequently Asked Questions on LCM of 468 and 476

1. What is the LCM of 468 and 476?

Answer: LCM of 468 and 476 is 55692.

2. What are the Factors of 468?

Answer: Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. There are 18 integers that are factors of 468. The greatest factor of 468 is 468.

3. What are the Factors of 476?

Answer: Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. There are 12 integers that are factors of 476. The greatest factor of 476 is 476.

4. How to Find the LCM of 468 and 476?

Answer:

Least Common Multiple of 468 and 476 = 55692

Step 1: Find the prime factorization of 468

468 = 2 x 2 x 3 x 3 x 13

Step 2: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

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

LCM = 55692 = 2 x 2 x 3 x 3 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 468 and 476 is 55692.