Least Common Multiple of 35170 and 35175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35170 and 35175 the smallest integer that is 247420950 that is divisible by both numbers.

Least Common Multiple (LCM) of 35170 and 35175 is 247420950.

LCM(35170,35175) = 247420950

LCM of 35170 and 35175

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

LCM of:
and

Least Common Multiple of 35170 and 35175

LCM of 35170 and 35175 is 247420950

Least common multiple can be found by multiplying the highest exponent prime factors of 35170 and 35175. First we will calculate the prime factors of 35170 and 35175.

Prime Factorization of 35170


2 35170
5 17585
3517 3517
1

Prime factors of 35170 are 2, 5,3517. Prime factorization of 35170 in exponential form is:

35170 = 21×51×35171

Prime Factorization of 35175


3 35175
5 11725
5 2345
7 469
67 67
1

Prime factors of 35175 are 3, 5, 7,67. Prime factorization of 35175 in exponential form is:

35175 = 31×52×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 35170 and 35175.

LCM(35170,35175) = 21×31×52×71×671×35171
LCM(35170,35175) = 247420950

Factors of 35170

List of positive integer factors of 35170 that divides 35170 without a remainder.

1, 2, 5, 10, 3517, 7034, 17585, 35170

Factors of 35175

List of positive integer factors of 35175 that divides 35175 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 67, 75, 105, 175, 201, 335, 469, 525, 1005, 1407, 1675, 2345, 5025, 7035, 11725, 35175

Least Common Multiple of 35170 and 35175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35170 and 35175, than apply into the LCM equation.

GCF(35170,35175) = 5
LCM(35170,35175) = ( 35170 × 35175) / 5
LCM(35170,35175) = 1237104750 / 5
LCM(35170,35175) = 247420950

Properties of LCM 35170 and 35175

(i) The LCM of 35175 and 35170 is associative

LCM of 35170 and 35175 = LCM of 35175 and 35170

Related Least Common Multiples of 35170

Related Least Common Multiples of 35175

Frequently Asked Questions on LCM of 35170 and 35175

1. What is the LCM of 35170 and 35175?

Answer: LCM of 35170 and 35175 is 247420950.

2. What are the Factors of 35170?

Answer: Factors of 35170 are 1, 2, 5, 10, 3517, 7034, 17585, 35170. There are 8 integers that are factors of 35170. The greatest factor of 35170 is 35170.

3. What are the Factors of 35175?

Answer: Factors of 35175 are 1, 3, 5, 7, 15, 21, 25, 35, 67, 75, 105, 175, 201, 335, 469, 525, 1005, 1407, 1675, 2345, 5025, 7035, 11725, 35175. There are 24 integers that are factors of 35175. The greatest factor of 35175 is 35175.

4. How to Find the LCM of 35170 and 35175?

Answer:

Least Common Multiple of 35170 and 35175 = 247420950

Step 1: Find the prime factorization of 35170

35170 = 2 x 5 x 3517

Step 2: Find the prime factorization of 35175

35175 = 3 x 5 x 5 x 7 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 = 247420950 = 2 x 3 x 5 x 5 x 7 x 67 x 3517

Step 4: Therefore, the least common multiple of 35170 and 35175 is 247420950.