Least Common Multiple of 5461 and 5469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5461 and 5469 the smallest integer that is 29866209 that is divisible by both numbers.

Least Common Multiple (LCM) of 5461 and 5469 is 29866209.

LCM(5461,5469) = 29866209

LCM of 5461 and 5469

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

LCM of:
and

Least Common Multiple of 5461 and 5469

LCM of 5461 and 5469 is 29866209

Least common multiple can be found by multiplying the highest exponent prime factors of 5461 and 5469. First we will calculate the prime factors of 5461 and 5469.

Prime Factorization of 5461


43 5461
127 127
1

Prime factors of 5461 are 43,127. Prime factorization of 5461 in exponential form is:

5461 = 431×1271

Prime Factorization of 5469


3 5469
1823 1823
1

Prime factors of 5469 are 3,1823. Prime factorization of 5469 in exponential form is:

5469 = 31×18231

Now multiplying the highest exponent prime factors to calculate the LCM of 5461 and 5469.

LCM(5461,5469) = 31×431×1271×18231
LCM(5461,5469) = 29866209

Factors of 5461

List of positive integer factors of 5461 that divides 5461 without a remainder.

1, 43, 127, 5461

Factors of 5469

List of positive integer factors of 5469 that divides 5469 without a remainder.

1, 3, 1823, 5469

Least Common Multiple of 5461 and 5469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5461 and 5469, than apply into the LCM equation.

GCF(5461,5469) = 1
LCM(5461,5469) = ( 5461 × 5469) / 1
LCM(5461,5469) = 29866209 / 1
LCM(5461,5469) = 29866209

Properties of LCM 5461 and 5469

(i) The LCM of 5469 and 5461 is associative

LCM of 5461 and 5469 = LCM of 5469 and 5461

Related Least Common Multiples of 5461

Related Least Common Multiples of 5469

Frequently Asked Questions on LCM of 5461 and 5469

1. What is the LCM of 5461 and 5469?

Answer: LCM of 5461 and 5469 is 29866209.

2. What are the Factors of 5461?

Answer: Factors of 5461 are 1, 43, 127, 5461. There are 4 integers that are factors of 5461. The greatest factor of 5461 is 5461.

3. What are the Factors of 5469?

Answer: Factors of 5469 are 1, 3, 1823, 5469. There are 4 integers that are factors of 5469. The greatest factor of 5469 is 5469.

4. How to Find the LCM of 5461 and 5469?

Answer:

Least Common Multiple of 5461 and 5469 = 29866209

Step 1: Find the prime factorization of 5461

5461 = 43 x 127

Step 2: Find the prime factorization of 5469

5469 = 3 x 1823

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

LCM = 29866209 = 3 x 43 x 127 x 1823

Step 4: Therefore, the least common multiple of 5461 and 5469 is 29866209.