Least Common Multiple of 35154 and 35159

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 35159 the smallest integer that is 1235979486 that is divisible by both numbers.

Least Common Multiple (LCM) of 35154 and 35159 is 1235979486.

LCM(35154,35159) = 1235979486

LCM of 35154 and 35159

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

LCM of:
and

Least Common Multiple of 35154 and 35159

LCM of 35154 and 35159 is 1235979486

Least common multiple can be found by multiplying the highest exponent prime factors of 35154 and 35159. First we will calculate the prime factors of 35154 and 35159.

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 35159


35159 35159
1

Prime factors of 35159 are 35159. Prime factorization of 35159 in exponential form is:

35159 = 351591

Now multiplying the highest exponent prime factors to calculate the LCM of 35154 and 35159.

LCM(35154,35159) = 21×34×71×311×351591
LCM(35154,35159) = 1235979486

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 35159

List of positive integer factors of 35159 that divides 35159 without a remainder.

1, 35159

Least Common Multiple of 35154 and 35159 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 35159, than apply into the LCM equation.

GCF(35154,35159) = 1
LCM(35154,35159) = ( 35154 × 35159) / 1
LCM(35154,35159) = 1235979486 / 1
LCM(35154,35159) = 1235979486

Properties of LCM 35154 and 35159

(i) The LCM of 35159 and 35154 is associative

LCM of 35154 and 35159 = LCM of 35159 and 35154

Related Least Common Multiples of 35154

Related Least Common Multiples of 35159

Frequently Asked Questions on LCM of 35154 and 35159

1. What is the LCM of 35154 and 35159?

Answer: LCM of 35154 and 35159 is 1235979486.

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 35159?

Answer: Factors of 35159 are 1, 35159. There are 2 integers that are factors of 35159. The greatest factor of 35159 is 35159.

4. How to Find the LCM of 35154 and 35159?

Answer:

Least Common Multiple of 35154 and 35159 = 1235979486

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 35159

35159 = 35159

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

LCM = 1235979486 = 2 x 3 x 3 x 3 x 3 x 7 x 31 x 35159

Step 4: Therefore, the least common multiple of 35154 and 35159 is 1235979486.