Least Common Multiple of 35154 and 35158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35154 and 35158 the smallest integer that is 617972166 that is divisible by both numbers.

Least Common Multiple (LCM) of 35154 and 35158 is 617972166.

LCM(35154,35158) = 617972166

LCM of 35154 and 35158

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

LCM of:
and

Least Common Multiple of 35154 and 35158

LCM of 35154 and 35158 is 617972166

Least common multiple can be found by multiplying the highest exponent prime factors of 35154 and 35158. First we will calculate the prime factors of 35154 and 35158.

Prime Factorization of 35154


2 35154
3 17577
3 5859
3 1953
3 651
7 217
31 31
1

Prime factors of 35154 are 2, 3, 7,31. Prime factorization of 35154 in exponential form is:

35154 = 21×34×71×311

Prime Factorization of 35158


2 35158
17579 17579
1

Prime factors of 35158 are 2,17579. Prime factorization of 35158 in exponential form is:

35158 = 21×175791

Now multiplying the highest exponent prime factors to calculate the LCM of 35154 and 35158.

LCM(35154,35158) = 21×34×71×311×175791
LCM(35154,35158) = 617972166

Factors of 35154

List of positive integer factors of 35154 that divides 35154 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 31, 42, 54, 62, 63, 81, 93, 126, 162, 186, 189, 217, 279, 378, 434, 558, 567, 651, 837, 1134, 1302, 1674, 1953, 2511, 3906, 5022, 5859, 11718, 17577, 35154

Factors of 35158

List of positive integer factors of 35158 that divides 35158 without a remainder.

1, 2, 17579, 35158

Least Common Multiple of 35154 and 35158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35154 and 35158, than apply into the LCM equation.

GCF(35154,35158) = 2
LCM(35154,35158) = ( 35154 × 35158) / 2
LCM(35154,35158) = 1235944332 / 2
LCM(35154,35158) = 617972166

Properties of LCM 35154 and 35158

(i) The LCM of 35158 and 35154 is associative

LCM of 35154 and 35158 = LCM of 35158 and 35154

Related Least Common Multiples of 35154

Related Least Common Multiples of 35158

Frequently Asked Questions on LCM of 35154 and 35158

1. What is the LCM of 35154 and 35158?

Answer: LCM of 35154 and 35158 is 617972166.

2. What are the Factors of 35154?

Answer: Factors of 35154 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 31, 42, 54, 62, 63, 81, 93, 126, 162, 186, 189, 217, 279, 378, 434, 558, 567, 651, 837, 1134, 1302, 1674, 1953, 2511, 3906, 5022, 5859, 11718, 17577, 35154. There are 40 integers that are factors of 35154. The greatest factor of 35154 is 35154.

3. What are the Factors of 35158?

Answer: Factors of 35158 are 1, 2, 17579, 35158. There are 4 integers that are factors of 35158. The greatest factor of 35158 is 35158.

4. How to Find the LCM of 35154 and 35158?

Answer:

Least Common Multiple of 35154 and 35158 = 617972166

Step 1: Find the prime factorization of 35154

35154 = 2 x 3 x 3 x 3 x 3 x 7 x 31

Step 2: Find the prime factorization of 35158

35158 = 2 x 17579

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

LCM = 617972166 = 2 x 3 x 3 x 3 x 3 x 7 x 31 x 17579

Step 4: Therefore, the least common multiple of 35154 and 35158 is 617972166.