Least Common Multiple of 468 and 470

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 470 the smallest integer that is 109980 that is divisible by both numbers.

Least Common Multiple (LCM) of 468 and 470 is 109980.

LCM(468,470) = 109980

LCM of 468 and 470

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

LCM of:
and

Least Common Multiple of 468 and 470

LCM of 468 and 470 is 109980

Least common multiple can be found by multiplying the highest exponent prime factors of 468 and 470. First we will calculate the prime factors of 468 and 470.

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 470


2 470
5 235
47 47
1

Prime factors of 470 are 2, 5,47. Prime factorization of 470 in exponential form is:

470 = 21×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 468 and 470.

LCM(468,470) = 22×32×51×131×471
LCM(468,470) = 109980

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 470

List of positive integer factors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Least Common Multiple of 468 and 470 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 470, than apply into the LCM equation.

GCF(468,470) = 2
LCM(468,470) = ( 468 × 470) / 2
LCM(468,470) = 219960 / 2
LCM(468,470) = 109980

Properties of LCM 468 and 470

(i) The LCM of 470 and 468 is associative

LCM of 468 and 470 = LCM of 470 and 468

Related Least Common Multiples of 468

Related Least Common Multiples of 470

Frequently Asked Questions on LCM of 468 and 470

1. What is the LCM of 468 and 470?

Answer: LCM of 468 and 470 is 109980.

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 470?

Answer: Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. There are 8 integers that are factors of 470. The greatest factor of 470 is 470.

4. How to Find the LCM of 468 and 470?

Answer:

Least Common Multiple of 468 and 470 = 109980

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 470

470 = 2 x 5 x 47

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

LCM = 109980 = 2 x 2 x 3 x 3 x 5 x 13 x 47

Step 4: Therefore, the least common multiple of 468 and 470 is 109980.