Least Common Multiple of 3136 and 3141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3136 and 3141 the smallest integer that is 9850176 that is divisible by both numbers.

Least Common Multiple (LCM) of 3136 and 3141 is 9850176.

LCM(3136,3141) = 9850176

LCM of 3136 and 3141

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

LCM of:
and

Least Common Multiple of 3136 and 3141

LCM of 3136 and 3141 is 9850176

Least common multiple can be found by multiplying the highest exponent prime factors of 3136 and 3141. First we will calculate the prime factors of 3136 and 3141.

Prime Factorization of 3136


2 3136
2 1568
2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 3136 are 2,7. Prime factorization of 3136 in exponential form is:

3136 = 26×72

Prime Factorization of 3141


3 3141
3 1047
349 349
1

Prime factors of 3141 are 3,349. Prime factorization of 3141 in exponential form is:

3141 = 32×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 3136 and 3141.

LCM(3136,3141) = 26×32×72×3491
LCM(3136,3141) = 9850176

Factors of 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1, 3, 9, 349, 1047, 3141

Least Common Multiple of 3136 and 3141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3136 and 3141, than apply into the LCM equation.

GCF(3136,3141) = 1
LCM(3136,3141) = ( 3136 × 3141) / 1
LCM(3136,3141) = 9850176 / 1
LCM(3136,3141) = 9850176

Properties of LCM 3136 and 3141

(i) The LCM of 3141 and 3136 is associative

LCM of 3136 and 3141 = LCM of 3141 and 3136

Related Least Common Multiples of 3136

Related Least Common Multiples of 3141

Frequently Asked Questions on LCM of 3136 and 3141

1. What is the LCM of 3136 and 3141?

Answer: LCM of 3136 and 3141 is 9850176.

2. What are the Factors of 3136?

Answer: Factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136. There are 21 integers that are factors of 3136. The greatest factor of 3136 is 3136.

3. What are the Factors of 3141?

Answer: Factors of 3141 are 1, 3, 9, 349, 1047, 3141. There are 6 integers that are factors of 3141. The greatest factor of 3141 is 3141.

4. How to Find the LCM of 3136 and 3141?

Answer:

Least Common Multiple of 3136 and 3141 = 9850176

Step 1: Find the prime factorization of 3136

3136 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 3141

3141 = 3 x 3 x 349

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

LCM = 9850176 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 349

Step 4: Therefore, the least common multiple of 3136 and 3141 is 9850176.