Least Common Multiple of 468 and 472

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 472 the smallest integer that is 55224 that is divisible by both numbers.

Least Common Multiple (LCM) of 468 and 472 is 55224.

LCM(468,472) = 55224

LCM of 468 and 472

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

LCM of:
and

Least Common Multiple of 468 and 472

LCM of 468 and 472 is 55224

Least common multiple can be found by multiplying the highest exponent prime factors of 468 and 472. First we will calculate the prime factors of 468 and 472.

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 472


2 472
2 236
2 118
59 59
1

Prime factors of 472 are 2,59. Prime factorization of 472 in exponential form is:

472 = 23×591

Now multiplying the highest exponent prime factors to calculate the LCM of 468 and 472.

LCM(468,472) = 23×32×131×591
LCM(468,472) = 55224

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 472

List of positive integer factors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Least Common Multiple of 468 and 472 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 472, than apply into the LCM equation.

GCF(468,472) = 4
LCM(468,472) = ( 468 × 472) / 4
LCM(468,472) = 220896 / 4
LCM(468,472) = 55224

Properties of LCM 468 and 472

(i) The LCM of 472 and 468 is associative

LCM of 468 and 472 = LCM of 472 and 468

Related Least Common Multiples of 468

Related Least Common Multiples of 472

Frequently Asked Questions on LCM of 468 and 472

1. What is the LCM of 468 and 472?

Answer: LCM of 468 and 472 is 55224.

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 472?

Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.

4. How to Find the LCM of 468 and 472?

Answer:

Least Common Multiple of 468 and 472 = 55224

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 472

472 = 2 x 2 x 2 x 59

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

LCM = 55224 = 2 x 2 x 2 x 3 x 3 x 13 x 59

Step 4: Therefore, the least common multiple of 468 and 472 is 55224.