Least Common Multiple of 3151 and 3159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3151 and 3159 the smallest integer that is 9954009 that is divisible by both numbers.

Least Common Multiple (LCM) of 3151 and 3159 is 9954009.

LCM(3151,3159) = 9954009

LCM of 3151 and 3159

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

LCM of:
and

Least Common Multiple of 3151 and 3159

LCM of 3151 and 3159 is 9954009

Least common multiple can be found by multiplying the highest exponent prime factors of 3151 and 3159. First we will calculate the prime factors of 3151 and 3159.

Prime Factorization of 3151


23 3151
137 137
1

Prime factors of 3151 are 23,137. Prime factorization of 3151 in exponential form is:

3151 = 231×1371

Prime Factorization of 3159


3 3159
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 3159 are 3,13. Prime factorization of 3159 in exponential form is:

3159 = 35×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3151 and 3159.

LCM(3151,3159) = 35×131×231×1371
LCM(3151,3159) = 9954009

Factors of 3151

List of positive integer factors of 3151 that divides 3151 without a remainder.

1, 23, 137, 3151

Factors of 3159

List of positive integer factors of 3159 that divides 3159 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159

Least Common Multiple of 3151 and 3159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3151 and 3159, than apply into the LCM equation.

GCF(3151,3159) = 1
LCM(3151,3159) = ( 3151 × 3159) / 1
LCM(3151,3159) = 9954009 / 1
LCM(3151,3159) = 9954009

Properties of LCM 3151 and 3159

(i) The LCM of 3159 and 3151 is associative

LCM of 3151 and 3159 = LCM of 3159 and 3151

Related Least Common Multiples of 3151

Related Least Common Multiples of 3159

Frequently Asked Questions on LCM of 3151 and 3159

1. What is the LCM of 3151 and 3159?

Answer: LCM of 3151 and 3159 is 9954009.

2. What are the Factors of 3151?

Answer: Factors of 3151 are 1, 23, 137, 3151. There are 4 integers that are factors of 3151. The greatest factor of 3151 is 3151.

3. What are the Factors of 3159?

Answer: Factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159. There are 12 integers that are factors of 3159. The greatest factor of 3159 is 3159.

4. How to Find the LCM of 3151 and 3159?

Answer:

Least Common Multiple of 3151 and 3159 = 9954009

Step 1: Find the prime factorization of 3151

3151 = 23 x 137

Step 2: Find the prime factorization of 3159

3159 = 3 x 3 x 3 x 3 x 3 x 13

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

LCM = 9954009 = 3 x 3 x 3 x 3 x 3 x 13 x 23 x 137

Step 4: Therefore, the least common multiple of 3151 and 3159 is 9954009.