Least Common Multiple of 10137 and 10143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10137 and 10143 the smallest integer that is 34273197 that is divisible by both numbers.

Least Common Multiple (LCM) of 10137 and 10143 is 34273197.

LCM(10137,10143) = 34273197

LCM of 10137 and 10143

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

LCM of:
and

Least Common Multiple of 10137 and 10143

LCM of 10137 and 10143 is 34273197

Least common multiple can be found by multiplying the highest exponent prime factors of 10137 and 10143. First we will calculate the prime factors of 10137 and 10143.

Prime Factorization of 10137


3 10137
31 3379
109 109
1

Prime factors of 10137 are 3, 31,109. Prime factorization of 10137 in exponential form is:

10137 = 31×311×1091

Prime Factorization of 10143


3 10143
3 3381
7 1127
7 161
23 23
1

Prime factors of 10143 are 3, 7,23. Prime factorization of 10143 in exponential form is:

10143 = 32×72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 10137 and 10143.

LCM(10137,10143) = 32×72×231×311×1091
LCM(10137,10143) = 34273197

Factors of 10137

List of positive integer factors of 10137 that divides 10137 without a remainder.

1, 3, 31, 93, 109, 327, 3379, 10137

Factors of 10143

List of positive integer factors of 10143 that divides 10143 without a remainder.

1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143

Least Common Multiple of 10137 and 10143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10137 and 10143, than apply into the LCM equation.

GCF(10137,10143) = 3
LCM(10137,10143) = ( 10137 × 10143) / 3
LCM(10137,10143) = 102819591 / 3
LCM(10137,10143) = 34273197

Properties of LCM 10137 and 10143

(i) The LCM of 10143 and 10137 is associative

LCM of 10137 and 10143 = LCM of 10143 and 10137

Related Least Common Multiples of 10137

Related Least Common Multiples of 10143

Frequently Asked Questions on LCM of 10137 and 10143

1. What is the LCM of 10137 and 10143?

Answer: LCM of 10137 and 10143 is 34273197.

2. What are the Factors of 10137?

Answer: Factors of 10137 are 1, 3, 31, 93, 109, 327, 3379, 10137. There are 8 integers that are factors of 10137. The greatest factor of 10137 is 10137.

3. What are the Factors of 10143?

Answer: Factors of 10143 are 1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143. There are 18 integers that are factors of 10143. The greatest factor of 10143 is 10143.

4. How to Find the LCM of 10137 and 10143?

Answer:

Least Common Multiple of 10137 and 10143 = 34273197

Step 1: Find the prime factorization of 10137

10137 = 3 x 31 x 109

Step 2: Find the prime factorization of 10143

10143 = 3 x 3 x 7 x 7 x 23

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

LCM = 34273197 = 3 x 3 x 7 x 7 x 23 x 31 x 109

Step 4: Therefore, the least common multiple of 10137 and 10143 is 34273197.