Least Common Multiple of 5494 and 5502

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 5502 the smallest integer that is 15113994 that is divisible by both numbers.

Least Common Multiple (LCM) of 5494 and 5502 is 15113994.

LCM(5494,5502) = 15113994

LCM of 5494 and 5502

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

LCM of:
and

Least Common Multiple of 5494 and 5502

LCM of 5494 and 5502 is 15113994

Least common multiple can be found by multiplying the highest exponent prime factors of 5494 and 5502. First we will calculate the prime factors of 5494 and 5502.

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 5502


2 5502
3 2751
7 917
131 131
1

Prime factors of 5502 are 2, 3, 7,131. Prime factorization of 5502 in exponential form is:

5502 = 21×31×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5494 and 5502.

LCM(5494,5502) = 21×31×71×411×671×1311
LCM(5494,5502) = 15113994

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 5502

List of positive integer factors of 5502 that divides 5502 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502

Least Common Multiple of 5494 and 5502 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 5502, than apply into the LCM equation.

GCF(5494,5502) = 2
LCM(5494,5502) = ( 5494 × 5502) / 2
LCM(5494,5502) = 30227988 / 2
LCM(5494,5502) = 15113994

Properties of LCM 5494 and 5502

(i) The LCM of 5502 and 5494 is associative

LCM of 5494 and 5502 = LCM of 5502 and 5494

Related Least Common Multiples of 5494

Related Least Common Multiples of 5502

Frequently Asked Questions on LCM of 5494 and 5502

1. What is the LCM of 5494 and 5502?

Answer: LCM of 5494 and 5502 is 15113994.

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 5502?

Answer: Factors of 5502 are 1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502. There are 16 integers that are factors of 5502. The greatest factor of 5502 is 5502.

4. How to Find the LCM of 5494 and 5502?

Answer:

Least Common Multiple of 5494 and 5502 = 15113994

Step 1: Find the prime factorization of 5494

5494 = 2 x 41 x 67

Step 2: Find the prime factorization of 5502

5502 = 2 x 3 x 7 x 131

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

LCM = 15113994 = 2 x 3 x 7 x 41 x 67 x 131

Step 4: Therefore, the least common multiple of 5494 and 5502 is 15113994.