Least Common Multiple of 8134 and 8141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8134 and 8141 the smallest integer that is 9459842 that is divisible by both numbers.

Least Common Multiple (LCM) of 8134 and 8141 is 9459842.

LCM(8134,8141) = 9459842

LCM of 8134 and 8141

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

LCM of:
and

Least Common Multiple of 8134 and 8141

LCM of 8134 and 8141 is 9459842

Least common multiple can be found by multiplying the highest exponent prime factors of 8134 and 8141. First we will calculate the prime factors of 8134 and 8141.

Prime Factorization of 8134


2 8134
7 4067
7 581
83 83
1

Prime factors of 8134 are 2, 7,83. Prime factorization of 8134 in exponential form is:

8134 = 21×72×831

Prime Factorization of 8141


7 8141
1163 1163
1

Prime factors of 8141 are 7,1163. Prime factorization of 8141 in exponential form is:

8141 = 71×11631

Now multiplying the highest exponent prime factors to calculate the LCM of 8134 and 8141.

LCM(8134,8141) = 21×72×831×11631
LCM(8134,8141) = 9459842

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134

Factors of 8141

List of positive integer factors of 8141 that divides 8141 without a remainder.

1, 7, 1163, 8141

Least Common Multiple of 8134 and 8141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8134 and 8141, than apply into the LCM equation.

GCF(8134,8141) = 7
LCM(8134,8141) = ( 8134 × 8141) / 7
LCM(8134,8141) = 66218894 / 7
LCM(8134,8141) = 9459842

Properties of LCM 8134 and 8141

(i) The LCM of 8141 and 8134 is associative

LCM of 8134 and 8141 = LCM of 8141 and 8134

Related Least Common Multiples of 8134

Related Least Common Multiples of 8141

Frequently Asked Questions on LCM of 8134 and 8141

1. What is the LCM of 8134 and 8141?

Answer: LCM of 8134 and 8141 is 9459842.

2. What are the Factors of 8134?

Answer: Factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134. There are 12 integers that are factors of 8134. The greatest factor of 8134 is 8134.

3. What are the Factors of 8141?

Answer: Factors of 8141 are 1, 7, 1163, 8141. There are 4 integers that are factors of 8141. The greatest factor of 8141 is 8141.

4. How to Find the LCM of 8134 and 8141?

Answer:

Least Common Multiple of 8134 and 8141 = 9459842

Step 1: Find the prime factorization of 8134

8134 = 2 x 7 x 7 x 83

Step 2: Find the prime factorization of 8141

8141 = 7 x 1163

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

LCM = 9459842 = 2 x 7 x 7 x 83 x 1163

Step 4: Therefore, the least common multiple of 8134 and 8141 is 9459842.