Least Common Multiple of 465 and 473

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 473 the smallest integer that is 219945 that is divisible by both numbers.

Least Common Multiple (LCM) of 465 and 473 is 219945.

LCM(465,473) = 219945

LCM of 465 and 473

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

LCM of:
and

Least Common Multiple of 465 and 473

LCM of 465 and 473 is 219945

Least common multiple can be found by multiplying the highest exponent prime factors of 465 and 473. First we will calculate the prime factors of 465 and 473.

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 473


11 473
43 43
1

Prime factors of 473 are 11,43. Prime factorization of 473 in exponential form is:

473 = 111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 465 and 473.

LCM(465,473) = 31×51×111×311×431
LCM(465,473) = 219945

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 473

List of positive integer factors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Least Common Multiple of 465 and 473 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 473, than apply into the LCM equation.

GCF(465,473) = 1
LCM(465,473) = ( 465 × 473) / 1
LCM(465,473) = 219945 / 1
LCM(465,473) = 219945

Properties of LCM 465 and 473

(i) The LCM of 473 and 465 is associative

LCM of 465 and 473 = LCM of 473 and 465

Related Least Common Multiples of 465

Related Least Common Multiples of 473

Frequently Asked Questions on LCM of 465 and 473

1. What is the LCM of 465 and 473?

Answer: LCM of 465 and 473 is 219945.

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 473?

Answer: Factors of 473 are 1, 11, 43, 473. There are 4 integers that are factors of 473. The greatest factor of 473 is 473.

4. How to Find the LCM of 465 and 473?

Answer:

Least Common Multiple of 465 and 473 = 219945

Step 1: Find the prime factorization of 465

465 = 3 x 5 x 31

Step 2: Find the prime factorization of 473

473 = 11 x 43

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

LCM = 219945 = 3 x 5 x 11 x 31 x 43

Step 4: Therefore, the least common multiple of 465 and 473 is 219945.