Least Common Multiple of 170 and 172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 170 and 172 the smallest integer that is 14620 that is divisible by both numbers.

Least Common Multiple (LCM) of 170 and 172 is 14620.

LCM(170,172) = 14620

LCM of 170 and 172

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

LCM of:
and

Least Common Multiple of 170 and 172

LCM of 170 and 172 is 14620

Least common multiple can be found by multiplying the highest exponent prime factors of 170 and 172. First we will calculate the prime factors of 170 and 172.

Prime Factorization of 170


2 170
5 85
17 17
1

Prime factors of 170 are 2, 5,17. Prime factorization of 170 in exponential form is:

170 = 21×51×171

Prime Factorization of 172


2 172
2 86
43 43
1

Prime factors of 172 are 2,43. Prime factorization of 172 in exponential form is:

172 = 22×431

Now multiplying the highest exponent prime factors to calculate the LCM of 170 and 172.

LCM(170,172) = 22×51×171×431
LCM(170,172) = 14620

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Least Common Multiple of 170 and 172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 170 and 172, than apply into the LCM equation.

GCF(170,172) = 2
LCM(170,172) = ( 170 × 172) / 2
LCM(170,172) = 29240 / 2
LCM(170,172) = 14620

Properties of LCM 170 and 172

(i) The LCM of 172 and 170 is associative

LCM of 170 and 172 = LCM of 172 and 170

Related Least Common Multiples of 170

Related Least Common Multiples of 172

Frequently Asked Questions on LCM of 170 and 172

1. What is the LCM of 170 and 172?

Answer: LCM of 170 and 172 is 14620.

2. What are the Factors of 170?

Answer: Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. There are 8 integers that are factors of 170. The greatest factor of 170 is 170.

3. What are the Factors of 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

4. How to Find the LCM of 170 and 172?

Answer:

Least Common Multiple of 170 and 172 = 14620

Step 1: Find the prime factorization of 170

170 = 2 x 5 x 17

Step 2: Find the prime factorization of 172

172 = 2 x 2 x 43

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

LCM = 14620 = 2 x 2 x 5 x 17 x 43

Step 4: Therefore, the least common multiple of 170 and 172 is 14620.