Least Common Multiple of 34162 and 34169

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

• Least Common Multiple of 34162 and 34169 by Prime method
• Least Common Multiple of 34162 and 34169 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34162 and 34169. First we will calculate the prime factors of 34162 and 34169.

Prime Factorization of 34162

Prime factors of 34162 are 2, 19, 29,31. Prime factorization of 34162 in exponential form is:

34162 = 2¹×19¹×29¹×31¹

Prime Factorization of 34169

Prime factors of 34169 are 47,727. Prime factorization of 34169 in exponential form is:

34169 = 47¹×727¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34162 and 34169.

LCM(34162,34169) = 2¹×19¹×29¹×31¹×47¹×727¹
LCM(34162,34169) = 1167281378

Factors of 34162

List of positive integer factors of 34162 that divides 34162 without a remainder.

1, 2, 19, 29, 31, 38, 58, 62, 551, 589, 899, 1102, 1178, 1798, 17081, 34162

Factors of 34169

List of positive integer factors of 34169 that divides 34169 without a remainder.

1, 47, 727, 34169

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34162 and 34169, than apply into the LCM equation.

GCF(34162,34169) = 1
LCM(34162,34169) = ( 34162 × 34169) / 1
LCM(34162,34169) = 1167281378 / 1
LCM(34162,34169) = 1167281378

(i) The LCM of 34169 and 34162 is associative

LCM of 34162 and 34169 = LCM of 34169 and 34162

1. What is the LCM of 34162 and 34169?

Answer: LCM of 34162 and 34169 is 1167281378.

2. What are the Factors of 34162?

Answer: Factors of 34162 are 1, 2, 19, 29, 31, 38, 58, 62, 551, 589, 899, 1102, 1178, 1798, 17081, 34162. There are 16 integers that are factors of 34162. The greatest factor of 34162 is 34162.

3. What are the Factors of 34169?

Answer: Factors of 34169 are 1, 47, 727, 34169. There are 4 integers that are factors of 34169. The greatest factor of 34169 is 34169.

4. How to Find the LCM of 34162 and 34169?

Answer:

Least Common Multiple of 34162 and 34169 = 1167281378

Step 1: Find the prime factorization of 34162

34162 = 2 x 19 x 29 x 31

Step 2: Find the prime factorization of 34169

34169 = 47 x 727

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

LCM = 1167281378 = 2 x 19 x 29 x 31 x 47 x 727

Step 4: Therefore, the least common multiple of 34162 and 34169 is 1167281378.