Least Common Multiple of 34164 and 34170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34164 and 34170 the smallest integer that is 194563980 that is divisible by both numbers.

Least Common Multiple (LCM) of 34164 and 34170 is 194563980.

LCM(34164,34170) = 194563980

LCM of 34164 and 34170

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

LCM of:
and

Least Common Multiple of 34164 and 34170

LCM of 34164 and 34170 is 194563980

Least common multiple can be found by multiplying the highest exponent prime factors of 34164 and 34170. First we will calculate the prime factors of 34164 and 34170.

Prime Factorization of 34164


2 34164
2 17082
3 8541
3 2847
13 949
73 73
1

Prime factors of 34164 are 2, 3, 13,73. Prime factorization of 34164 in exponential form is:

34164 = 22×32×131×731

Prime Factorization of 34170


2 34170
3 17085
5 5695
17 1139
67 67
1

Prime factors of 34170 are 2, 3, 5, 17,67. Prime factorization of 34170 in exponential form is:

34170 = 21×31×51×171×671

Now multiplying the highest exponent prime factors to calculate the LCM of 34164 and 34170.

LCM(34164,34170) = 22×32×51×131×171×671×731
LCM(34164,34170) = 194563980

Factors of 34164

List of positive integer factors of 34164 that divides 34164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 73, 78, 117, 146, 156, 219, 234, 292, 438, 468, 657, 876, 949, 1314, 1898, 2628, 2847, 3796, 5694, 8541, 11388, 17082, 34164

Factors of 34170

List of positive integer factors of 34170 that divides 34170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 67, 85, 102, 134, 170, 201, 255, 335, 402, 510, 670, 1005, 1139, 2010, 2278, 3417, 5695, 6834, 11390, 17085, 34170

Least Common Multiple of 34164 and 34170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34164 and 34170, than apply into the LCM equation.

GCF(34164,34170) = 6
LCM(34164,34170) = ( 34164 × 34170) / 6
LCM(34164,34170) = 1167383880 / 6
LCM(34164,34170) = 194563980

Properties of LCM 34164 and 34170

(i) The LCM of 34170 and 34164 is associative

LCM of 34164 and 34170 = LCM of 34170 and 34164

Related Least Common Multiples of 34164

Related Least Common Multiples of 34170

Frequently Asked Questions on LCM of 34164 and 34170

1. What is the LCM of 34164 and 34170?

Answer: LCM of 34164 and 34170 is 194563980.

2. What are the Factors of 34164?

Answer: Factors of 34164 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 73, 78, 117, 146, 156, 219, 234, 292, 438, 468, 657, 876, 949, 1314, 1898, 2628, 2847, 3796, 5694, 8541, 11388, 17082, 34164. There are 36 integers that are factors of 34164. The greatest factor of 34164 is 34164.

3. What are the Factors of 34170?

Answer: Factors of 34170 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 67, 85, 102, 134, 170, 201, 255, 335, 402, 510, 670, 1005, 1139, 2010, 2278, 3417, 5695, 6834, 11390, 17085, 34170. There are 32 integers that are factors of 34170. The greatest factor of 34170 is 34170.

4. How to Find the LCM of 34164 and 34170?

Answer:

Least Common Multiple of 34164 and 34170 = 194563980

Step 1: Find the prime factorization of 34164

34164 = 2 x 2 x 3 x 3 x 13 x 73

Step 2: Find the prime factorization of 34170

34170 = 2 x 3 x 5 x 17 x 67

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

LCM = 194563980 = 2 x 2 x 3 x 3 x 5 x 13 x 17 x 67 x 73

Step 4: Therefore, the least common multiple of 34164 and 34170 is 194563980.