Least Common Multiple of 35174 and 35180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35174 and 35180 the smallest integer that is 618710660 that is divisible by both numbers.

Least Common Multiple (LCM) of 35174 and 35180 is 618710660.

LCM(35174,35180) = 618710660

LCM of 35174 and 35180

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

LCM of:
and

Least Common Multiple of 35174 and 35180

LCM of 35174 and 35180 is 618710660

Least common multiple can be found by multiplying the highest exponent prime factors of 35174 and 35180. First we will calculate the prime factors of 35174 and 35180.

Prime Factorization of 35174


2 35174
43 17587
409 409
1

Prime factors of 35174 are 2, 43,409. Prime factorization of 35174 in exponential form is:

35174 = 21×431×4091

Prime Factorization of 35180


2 35180
2 17590
5 8795
1759 1759
1

Prime factors of 35180 are 2, 5,1759. Prime factorization of 35180 in exponential form is:

35180 = 22×51×17591

Now multiplying the highest exponent prime factors to calculate the LCM of 35174 and 35180.

LCM(35174,35180) = 22×51×431×4091×17591
LCM(35174,35180) = 618710660

Factors of 35174

List of positive integer factors of 35174 that divides 35174 without a remainder.

1, 2, 43, 86, 409, 818, 17587, 35174

Factors of 35180

List of positive integer factors of 35180 that divides 35180 without a remainder.

1, 2, 4, 5, 10, 20, 1759, 3518, 7036, 8795, 17590, 35180

Least Common Multiple of 35174 and 35180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35174 and 35180, than apply into the LCM equation.

GCF(35174,35180) = 2
LCM(35174,35180) = ( 35174 × 35180) / 2
LCM(35174,35180) = 1237421320 / 2
LCM(35174,35180) = 618710660

Properties of LCM 35174 and 35180

(i) The LCM of 35180 and 35174 is associative

LCM of 35174 and 35180 = LCM of 35180 and 35174

Related Least Common Multiples of 35174

Related Least Common Multiples of 35180

Frequently Asked Questions on LCM of 35174 and 35180

1. What is the LCM of 35174 and 35180?

Answer: LCM of 35174 and 35180 is 618710660.

2. What are the Factors of 35174?

Answer: Factors of 35174 are 1, 2, 43, 86, 409, 818, 17587, 35174. There are 8 integers that are factors of 35174. The greatest factor of 35174 is 35174.

3. What are the Factors of 35180?

Answer: Factors of 35180 are 1, 2, 4, 5, 10, 20, 1759, 3518, 7036, 8795, 17590, 35180. There are 12 integers that are factors of 35180. The greatest factor of 35180 is 35180.

4. How to Find the LCM of 35174 and 35180?

Answer:

Least Common Multiple of 35174 and 35180 = 618710660

Step 1: Find the prime factorization of 35174

35174 = 2 x 43 x 409

Step 2: Find the prime factorization of 35180

35180 = 2 x 2 x 5 x 1759

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

LCM = 618710660 = 2 x 2 x 5 x 43 x 409 x 1759

Step 4: Therefore, the least common multiple of 35174 and 35180 is 618710660.