Least Common Multiple of 35174 and 35182

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 35182 the smallest integer that is 618745834 that is divisible by both numbers.

Least Common Multiple (LCM) of 35174 and 35182 is 618745834.

LCM(35174,35182) = 618745834

LCM of 35174 and 35182

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

LCM of:
and

Least Common Multiple of 35174 and 35182

LCM of 35174 and 35182 is 618745834

Least common multiple can be found by multiplying the highest exponent prime factors of 35174 and 35182. First we will calculate the prime factors of 35174 and 35182.

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 35182


2 35182
7 17591
7 2513
359 359
1

Prime factors of 35182 are 2, 7,359. Prime factorization of 35182 in exponential form is:

35182 = 21×72×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 35174 and 35182.

LCM(35174,35182) = 21×72×431×3591×4091
LCM(35174,35182) = 618745834

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 35182

List of positive integer factors of 35182 that divides 35182 without a remainder.

1, 2, 7, 14, 49, 98, 359, 718, 2513, 5026, 17591, 35182

Least Common Multiple of 35174 and 35182 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 35182, than apply into the LCM equation.

GCF(35174,35182) = 2
LCM(35174,35182) = ( 35174 × 35182) / 2
LCM(35174,35182) = 1237491668 / 2
LCM(35174,35182) = 618745834

Properties of LCM 35174 and 35182

(i) The LCM of 35182 and 35174 is associative

LCM of 35174 and 35182 = LCM of 35182 and 35174

Related Least Common Multiples of 35174

Related Least Common Multiples of 35182

Frequently Asked Questions on LCM of 35174 and 35182

1. What is the LCM of 35174 and 35182?

Answer: LCM of 35174 and 35182 is 618745834.

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 35182?

Answer: Factors of 35182 are 1, 2, 7, 14, 49, 98, 359, 718, 2513, 5026, 17591, 35182. There are 12 integers that are factors of 35182. The greatest factor of 35182 is 35182.

4. How to Find the LCM of 35174 and 35182?

Answer:

Least Common Multiple of 35174 and 35182 = 618745834

Step 1: Find the prime factorization of 35174

35174 = 2 x 43 x 409

Step 2: Find the prime factorization of 35182

35182 = 2 x 7 x 7 x 359

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

LCM = 618745834 = 2 x 7 x 7 x 43 x 359 x 409

Step 4: Therefore, the least common multiple of 35174 and 35182 is 618745834.