Least Common Multiple of 13077 and 13081

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13077 and 13081 the smallest integer that is 171060237 that is divisible by both numbers.

Least Common Multiple (LCM) of 13077 and 13081 is 171060237.

LCM(13077,13081) = 171060237

LCM of 13077 and 13081

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

LCM of:
and

Least Common Multiple of 13077 and 13081

LCM of 13077 and 13081 is 171060237

Least common multiple can be found by multiplying the highest exponent prime factors of 13077 and 13081. First we will calculate the prime factors of 13077 and 13081.

Prime Factorization of 13077


3 13077
3 4359
1453 1453
1

Prime factors of 13077 are 3,1453. Prime factorization of 13077 in exponential form is:

13077 = 32×14531

Prime Factorization of 13081


103 13081
127 127
1

Prime factors of 13081 are 103,127. Prime factorization of 13081 in exponential form is:

13081 = 1031×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 13077 and 13081.

LCM(13077,13081) = 32×1031×1271×14531
LCM(13077,13081) = 171060237

Factors of 13077

List of positive integer factors of 13077 that divides 13077 without a remainder.

1, 3, 9, 1453, 4359, 13077

Factors of 13081

List of positive integer factors of 13081 that divides 13081 without a remainder.

1, 103, 127, 13081

Least Common Multiple of 13077 and 13081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13077 and 13081, than apply into the LCM equation.

GCF(13077,13081) = 1
LCM(13077,13081) = ( 13077 × 13081) / 1
LCM(13077,13081) = 171060237 / 1
LCM(13077,13081) = 171060237

Properties of LCM 13077 and 13081

(i) The LCM of 13081 and 13077 is associative

LCM of 13077 and 13081 = LCM of 13081 and 13077

Related Least Common Multiples of 13077

Related Least Common Multiples of 13081

Frequently Asked Questions on LCM of 13077 and 13081

1. What is the LCM of 13077 and 13081?

Answer: LCM of 13077 and 13081 is 171060237.

2. What are the Factors of 13077?

Answer: Factors of 13077 are 1, 3, 9, 1453, 4359, 13077. There are 6 integers that are factors of 13077. The greatest factor of 13077 is 13077.

3. What are the Factors of 13081?

Answer: Factors of 13081 are 1, 103, 127, 13081. There are 4 integers that are factors of 13081. The greatest factor of 13081 is 13081.

4. How to Find the LCM of 13077 and 13081?

Answer:

Least Common Multiple of 13077 and 13081 = 171060237

Step 1: Find the prime factorization of 13077

13077 = 3 x 3 x 1453

Step 2: Find the prime factorization of 13081

13081 = 103 x 127

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

LCM = 171060237 = 3 x 3 x 103 x 127 x 1453

Step 4: Therefore, the least common multiple of 13077 and 13081 is 171060237.