Least Common Multiple of 34162 and 34167

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

• Least Common Multiple of 34162 and 34167 by Prime method
• Least Common Multiple of 34162 and 34167 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34162 and 34167. First we will calculate the prime factors of 34162 and 34167.

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 34167

Prime factors of 34167 are 3, 7,1627. Prime factorization of 34167 in exponential form is:

34167 = 3¹×7¹×1627¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34162 and 34167.

LCM(34162,34167) = 2¹×3¹×7¹×19¹×29¹×31¹×1627¹
LCM(34162,34167) = 1167213054

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 34167

List of positive integer factors of 34167 that divides 34167 without a remainder.

1, 3, 7, 21, 1627, 4881, 11389, 34167

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34162 and 34167, than apply into the LCM equation.

GCF(34162,34167) = 1
LCM(34162,34167) = ( 34162 × 34167) / 1
LCM(34162,34167) = 1167213054 / 1
LCM(34162,34167) = 1167213054

(i) The LCM of 34167 and 34162 is associative

LCM of 34162 and 34167 = LCM of 34167 and 34162

1. What is the LCM of 34162 and 34167?

Answer: LCM of 34162 and 34167 is 1167213054.

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 34167?

Answer: Factors of 34167 are 1, 3, 7, 21, 1627, 4881, 11389, 34167. There are 8 integers that are factors of 34167. The greatest factor of 34167 is 34167.

4. How to Find the LCM of 34162 and 34167?

Answer:

Least Common Multiple of 34162 and 34167 = 1167213054

Step 1: Find the prime factorization of 34162

34162 = 2 x 19 x 29 x 31

Step 2: Find the prime factorization of 34167

34167 = 3 x 7 x 1627

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

LCM = 1167213054 = 2 x 3 x 7 x 19 x 29 x 31 x 1627

Step 4: Therefore, the least common multiple of 34162 and 34167 is 1167213054.