Least Common Multiple of 8137 and 8144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8137 and 8144 the smallest integer that is 66267728 that is divisible by both numbers.

Least Common Multiple (LCM) of 8137 and 8144 is 66267728.

LCM(8137,8144) = 66267728

LCM of 8137 and 8144

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

LCM of:
and

Least Common Multiple of 8137 and 8144

LCM of 8137 and 8144 is 66267728

Least common multiple can be found by multiplying the highest exponent prime factors of 8137 and 8144. First we will calculate the prime factors of 8137 and 8144.

Prime Factorization of 8137


79 8137
103 103
1

Prime factors of 8137 are 79,103. Prime factorization of 8137 in exponential form is:

8137 = 791×1031

Prime Factorization of 8144


2 8144
2 4072
2 2036
2 1018
509 509
1

Prime factors of 8144 are 2,509. Prime factorization of 8144 in exponential form is:

8144 = 24×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 8137 and 8144.

LCM(8137,8144) = 24×791×1031×5091
LCM(8137,8144) = 66267728

Factors of 8137

List of positive integer factors of 8137 that divides 8137 without a remainder.

1, 79, 103, 8137

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144

Least Common Multiple of 8137 and 8144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8137 and 8144, than apply into the LCM equation.

GCF(8137,8144) = 1
LCM(8137,8144) = ( 8137 × 8144) / 1
LCM(8137,8144) = 66267728 / 1
LCM(8137,8144) = 66267728

Properties of LCM 8137 and 8144

(i) The LCM of 8144 and 8137 is associative

LCM of 8137 and 8144 = LCM of 8144 and 8137

Related Least Common Multiples of 8137

Related Least Common Multiples of 8144

Frequently Asked Questions on LCM of 8137 and 8144

1. What is the LCM of 8137 and 8144?

Answer: LCM of 8137 and 8144 is 66267728.

2. What are the Factors of 8137?

Answer: Factors of 8137 are 1, 79, 103, 8137. There are 4 integers that are factors of 8137. The greatest factor of 8137 is 8137.

3. What are the Factors of 8144?

Answer: Factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. There are 10 integers that are factors of 8144. The greatest factor of 8144 is 8144.

4. How to Find the LCM of 8137 and 8144?

Answer:

Least Common Multiple of 8137 and 8144 = 66267728

Step 1: Find the prime factorization of 8137

8137 = 79 x 103

Step 2: Find the prime factorization of 8144

8144 = 2 x 2 x 2 x 2 x 509

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

LCM = 66267728 = 2 x 2 x 2 x 2 x 79 x 103 x 509

Step 4: Therefore, the least common multiple of 8137 and 8144 is 66267728.