Least Common Multiple of 468 and 474

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 474 the smallest integer that is 36972 that is divisible by both numbers.

Least Common Multiple (LCM) of 468 and 474 is 36972.

LCM(468,474) = 36972

LCM of 468 and 474

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

LCM of:
and

Least Common Multiple of 468 and 474

LCM of 468 and 474 is 36972

Least common multiple can be found by multiplying the highest exponent prime factors of 468 and 474. First we will calculate the prime factors of 468 and 474.

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 474


2 474
3 237
79 79
1

Prime factors of 474 are 2, 3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 468 and 474.

LCM(468,474) = 22×32×131×791
LCM(468,474) = 36972

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 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Least Common Multiple of 468 and 474 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 474, than apply into the LCM equation.

GCF(468,474) = 6
LCM(468,474) = ( 468 × 474) / 6
LCM(468,474) = 221832 / 6
LCM(468,474) = 36972

Properties of LCM 468 and 474

(i) The LCM of 474 and 468 is associative

LCM of 468 and 474 = LCM of 474 and 468

Related Least Common Multiples of 468

Related Least Common Multiples of 474

Frequently Asked Questions on LCM of 468 and 474

1. What is the LCM of 468 and 474?

Answer: LCM of 468 and 474 is 36972.

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 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

4. How to Find the LCM of 468 and 474?

Answer:

Least Common Multiple of 468 and 474 = 36972

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 474

474 = 2 x 3 x 79

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

LCM = 36972 = 2 x 2 x 3 x 3 x 13 x 79

Step 4: Therefore, the least common multiple of 468 and 474 is 36972.