Least Common Multiple of 5494 and 5501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5494 and 5501 the smallest integer that is 30222494 that is divisible by both numbers.

Least Common Multiple (LCM) of 5494 and 5501 is 30222494.

LCM(5494,5501) = 30222494

LCM of 5494 and 5501

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

LCM of:
and

Least Common Multiple of 5494 and 5501

LCM of 5494 and 5501 is 30222494

Least common multiple can be found by multiplying the highest exponent prime factors of 5494 and 5501. First we will calculate the prime factors of 5494 and 5501.

Prime Factorization of 5494


2 5494
41 2747
67 67
1

Prime factors of 5494 are 2, 41,67. Prime factorization of 5494 in exponential form is:

5494 = 21×411×671

Prime Factorization of 5501


5501 5501
1

Prime factors of 5501 are 5501. Prime factorization of 5501 in exponential form is:

5501 = 55011

Now multiplying the highest exponent prime factors to calculate the LCM of 5494 and 5501.

LCM(5494,5501) = 21×411×671×55011
LCM(5494,5501) = 30222494

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1, 2, 41, 67, 82, 134, 2747, 5494

Factors of 5501

List of positive integer factors of 5501 that divides 5501 without a remainder.

1, 5501

Least Common Multiple of 5494 and 5501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5494 and 5501, than apply into the LCM equation.

GCF(5494,5501) = 1
LCM(5494,5501) = ( 5494 × 5501) / 1
LCM(5494,5501) = 30222494 / 1
LCM(5494,5501) = 30222494

Properties of LCM 5494 and 5501

(i) The LCM of 5501 and 5494 is associative

LCM of 5494 and 5501 = LCM of 5501 and 5494

Related Least Common Multiples of 5494

Related Least Common Multiples of 5501

Frequently Asked Questions on LCM of 5494 and 5501

1. What is the LCM of 5494 and 5501?

Answer: LCM of 5494 and 5501 is 30222494.

2. What are the Factors of 5494?

Answer: Factors of 5494 are 1, 2, 41, 67, 82, 134, 2747, 5494. There are 8 integers that are factors of 5494. The greatest factor of 5494 is 5494.

3. What are the Factors of 5501?

Answer: Factors of 5501 are 1, 5501. There are 2 integers that are factors of 5501. The greatest factor of 5501 is 5501.

4. How to Find the LCM of 5494 and 5501?

Answer:

Least Common Multiple of 5494 and 5501 = 30222494

Step 1: Find the prime factorization of 5494

5494 = 2 x 41 x 67

Step 2: Find the prime factorization of 5501

5501 = 5501

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

LCM = 30222494 = 2 x 41 x 67 x 5501

Step 4: Therefore, the least common multiple of 5494 and 5501 is 30222494.