Least Common Multiple of 468 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 468 and 473 the smallest integer that is 221364 that is divisible by both numbers.

Least Common Multiple (LCM) of 468 and 473 is 221364.

LCM(468,473) = 221364

LCM of 468 and 473

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

LCM of:
and

Least Common Multiple of 468 and 473

LCM of 468 and 473 is 221364

Least common multiple can be found by multiplying the highest exponent prime factors of 468 and 473. First we will calculate the prime factors of 468 and 473.

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 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 468 and 473.

LCM(468,473) = 22×32×111×131×431
LCM(468,473) = 221364

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 473

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

1, 11, 43, 473

Least Common Multiple of 468 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 468 and 473, than apply into the LCM equation.

GCF(468,473) = 1
LCM(468,473) = ( 468 × 473) / 1
LCM(468,473) = 221364 / 1
LCM(468,473) = 221364

Properties of LCM 468 and 473

(i) The LCM of 473 and 468 is associative

LCM of 468 and 473 = LCM of 473 and 468

Related Least Common Multiples of 468

Related Least Common Multiples of 473

Frequently Asked Questions on LCM of 468 and 473

1. What is the LCM of 468 and 473?

Answer: LCM of 468 and 473 is 221364.

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 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 468 and 473?

Answer:

Least Common Multiple of 468 and 473 = 221364

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 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 = 221364 = 2 x 2 x 3 x 3 x 11 x 13 x 43

Step 4: Therefore, the least common multiple of 468 and 473 is 221364.