Least Common Multiple of 469 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 469 and 473 the smallest integer that is 221837 that is divisible by both numbers.

Least Common Multiple (LCM) of 469 and 473 is 221837.

LCM(469,473) = 221837

LCM of 469 and 473

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

LCM of:
and

Least Common Multiple of 469 and 473

LCM of 469 and 473 is 221837

Least common multiple can be found by multiplying the highest exponent prime factors of 469 and 473. First we will calculate the prime factors of 469 and 473.

Prime Factorization of 469


7 469
67 67
1

Prime factors of 469 are 7,67. Prime factorization of 469 in exponential form is:

469 = 71×671

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 469 and 473.

LCM(469,473) = 71×111×431×671
LCM(469,473) = 221837

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Factors of 473

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

1, 11, 43, 473

Least Common Multiple of 469 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 469 and 473, than apply into the LCM equation.

GCF(469,473) = 1
LCM(469,473) = ( 469 × 473) / 1
LCM(469,473) = 221837 / 1
LCM(469,473) = 221837

Properties of LCM 469 and 473

(i) The LCM of 473 and 469 is associative

LCM of 469 and 473 = LCM of 473 and 469

Related Least Common Multiples of 469

Related Least Common Multiples of 473

Frequently Asked Questions on LCM of 469 and 473

1. What is the LCM of 469 and 473?

Answer: LCM of 469 and 473 is 221837.

2. What are the Factors of 469?

Answer: Factors of 469 are 1, 7, 67, 469. There are 4 integers that are factors of 469. The greatest factor of 469 is 469.

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 469 and 473?

Answer:

Least Common Multiple of 469 and 473 = 221837

Step 1: Find the prime factorization of 469

469 = 7 x 67

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 = 221837 = 7 x 11 x 43 x 67

Step 4: Therefore, the least common multiple of 469 and 473 is 221837.