Least Common Multiple of 465 and 471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 465 and 471 the smallest integer that is 73005 that is divisible by both numbers.

Least Common Multiple (LCM) of 465 and 471 is 73005.

LCM(465,471) = 73005

LCM of 465 and 471

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

LCM of:
and

Least Common Multiple of 465 and 471

LCM of 465 and 471 is 73005

Least common multiple can be found by multiplying the highest exponent prime factors of 465 and 471. First we will calculate the prime factors of 465 and 471.

Prime Factorization of 465


3 465
5 155
31 31
1

Prime factors of 465 are 3, 5,31. Prime factorization of 465 in exponential form is:

465 = 31×51×311

Prime Factorization of 471


3 471
157 157
1

Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:

471 = 31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 465 and 471.

LCM(465,471) = 31×51×311×1571
LCM(465,471) = 73005

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Least Common Multiple of 465 and 471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 465 and 471, than apply into the LCM equation.

GCF(465,471) = 3
LCM(465,471) = ( 465 × 471) / 3
LCM(465,471) = 219015 / 3
LCM(465,471) = 73005

Properties of LCM 465 and 471

(i) The LCM of 471 and 465 is associative

LCM of 465 and 471 = LCM of 471 and 465

Related Least Common Multiples of 465

Related Least Common Multiples of 471

Frequently Asked Questions on LCM of 465 and 471

1. What is the LCM of 465 and 471?

Answer: LCM of 465 and 471 is 73005.

2. What are the Factors of 465?

Answer: Factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465. There are 8 integers that are factors of 465. The greatest factor of 465 is 465.

3. What are the Factors of 471?

Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.

4. How to Find the LCM of 465 and 471?

Answer:

Least Common Multiple of 465 and 471 = 73005

Step 1: Find the prime factorization of 465

465 = 3 x 5 x 31

Step 2: Find the prime factorization of 471

471 = 3 x 157

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

LCM = 73005 = 3 x 5 x 31 x 157

Step 4: Therefore, the least common multiple of 465 and 471 is 73005.