Least Common Multiple of 6162 and 6169

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

• Least Common Multiple of 6162 and 6169 by Prime method
• Least Common Multiple of 6162 and 6169 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 6162 and 6169. First we will calculate the prime factors of 6162 and 6169.

Prime Factorization of 6162

Prime factors of 6162 are 2, 3, 13,79. Prime factorization of 6162 in exponential form is:

6162 = 2¹×3¹×13¹×79¹

Prime Factorization of 6169

Prime factors of 6169 are 31,199. Prime factorization of 6169 in exponential form is:

6169 = 31¹×199¹

Now multiplying the highest exponent prime factors to calculate the LCM of 6162 and 6169.

LCM(6162,6169) = 2¹×3¹×13¹×31¹×79¹×199¹
LCM(6162,6169) = 38013378

Factors of 6162

List of positive integer factors of 6162 that divides 6162 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162

Factors of 6169

List of positive integer factors of 6169 that divides 6169 without a remainder.

1, 31, 199, 6169

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6162 and 6169, than apply into the LCM equation.

GCF(6162,6169) = 1
LCM(6162,6169) = ( 6162 × 6169) / 1
LCM(6162,6169) = 38013378 / 1
LCM(6162,6169) = 38013378

(i) The LCM of 6169 and 6162 is associative

LCM of 6162 and 6169 = LCM of 6169 and 6162

1. What is the LCM of 6162 and 6169?

Answer: LCM of 6162 and 6169 is 38013378.

2. What are the Factors of 6162?

Answer: Factors of 6162 are 1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162. There are 16 integers that are factors of 6162. The greatest factor of 6162 is 6162.

3. What are the Factors of 6169?

Answer: Factors of 6169 are 1, 31, 199, 6169. There are 4 integers that are factors of 6169. The greatest factor of 6169 is 6169.

4. How to Find the LCM of 6162 and 6169?

Answer:

Least Common Multiple of 6162 and 6169 = 38013378

Step 1: Find the prime factorization of 6162

6162 = 2 x 3 x 13 x 79

Step 2: Find the prime factorization of 6169

6169 = 31 x 199

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

LCM = 38013378 = 2 x 3 x 13 x 31 x 79 x 199

Step 4: Therefore, the least common multiple of 6162 and 6169 is 38013378.