Least Common Multiple of 5497 and 5502

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

• Least Common Multiple of 5497 and 5502 by Prime method
• Least Common Multiple of 5497 and 5502 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 5497 and 5502. First we will calculate the prime factors of 5497 and 5502.

Prime Factorization of 5497

Prime factors of 5497 are 23,239. Prime factorization of 5497 in exponential form is:

5497 = 23¹×239¹

Prime Factorization of 5502

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 5497 and 5502.

LCM(5497,5502) = 2¹×3¹×7¹×23¹×131¹×239¹
LCM(5497,5502) = 30244494

Factors of 5497

List of positive integer factors of 5497 that divides 5497 without a remainder.

1, 23, 239, 5497

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5497 and 5502, than apply into the LCM equation.

GCF(5497,5502) = 1
LCM(5497,5502) = ( 5497 × 5502) / 1
LCM(5497,5502) = 30244494 / 1
LCM(5497,5502) = 30244494

(i) The LCM of 5502 and 5497 is associative

LCM of 5497 and 5502 = LCM of 5502 and 5497

1. What is the LCM of 5497 and 5502?

Answer: LCM of 5497 and 5502 is 30244494.

2. What are the Factors of 5497?

Answer: Factors of 5497 are 1, 23, 239, 5497. There are 4 integers that are factors of 5497. The greatest factor of 5497 is 5497.

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 5497 and 5502?

Answer:

Least Common Multiple of 5497 and 5502 = 30244494

Step 1: Find the prime factorization of 5497

5497 = 23 x 239

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 = 30244494 = 2 x 3 x 7 x 23 x 131 x 239

Step 4: Therefore, the least common multiple of 5497 and 5502 is 30244494.