Least Common Multiple of 12820 and 12827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12820 and 12827 the smallest integer that is 164442140 that is divisible by both numbers.

Least Common Multiple (LCM) of 12820 and 12827 is 164442140.

LCM(12820,12827) = 164442140

LCM of 12820 and 12827

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

LCM of:
and

Least Common Multiple of 12820 and 12827

LCM of 12820 and 12827 is 164442140

Least common multiple can be found by multiplying the highest exponent prime factors of 12820 and 12827. First we will calculate the prime factors of 12820 and 12827.

Prime Factorization of 12820


2 12820
2 6410
5 3205
641 641
1

Prime factors of 12820 are 2, 5,641. Prime factorization of 12820 in exponential form is:

12820 = 22×51×6411

Prime Factorization of 12827


101 12827
127 127
1

Prime factors of 12827 are 101,127. Prime factorization of 12827 in exponential form is:

12827 = 1011×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 12820 and 12827.

LCM(12820,12827) = 22×51×1011×1271×6411
LCM(12820,12827) = 164442140

Factors of 12820

List of positive integer factors of 12820 that divides 12820 without a remainder.

1, 2, 4, 5, 10, 20, 641, 1282, 2564, 3205, 6410, 12820

Factors of 12827

List of positive integer factors of 12827 that divides 12827 without a remainder.

1, 101, 127, 12827

Least Common Multiple of 12820 and 12827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12820 and 12827, than apply into the LCM equation.

GCF(12820,12827) = 1
LCM(12820,12827) = ( 12820 × 12827) / 1
LCM(12820,12827) = 164442140 / 1
LCM(12820,12827) = 164442140

Properties of LCM 12820 and 12827

(i) The LCM of 12827 and 12820 is associative

LCM of 12820 and 12827 = LCM of 12827 and 12820

Related Least Common Multiples of 12820

Related Least Common Multiples of 12827

Frequently Asked Questions on LCM of 12820 and 12827

1. What is the LCM of 12820 and 12827?

Answer: LCM of 12820 and 12827 is 164442140.

2. What are the Factors of 12820?

Answer: Factors of 12820 are 1, 2, 4, 5, 10, 20, 641, 1282, 2564, 3205, 6410, 12820. There are 12 integers that are factors of 12820. The greatest factor of 12820 is 12820.

3. What are the Factors of 12827?

Answer: Factors of 12827 are 1, 101, 127, 12827. There are 4 integers that are factors of 12827. The greatest factor of 12827 is 12827.

4. How to Find the LCM of 12820 and 12827?

Answer:

Least Common Multiple of 12820 and 12827 = 164442140

Step 1: Find the prime factorization of 12820

12820 = 2 x 2 x 5 x 641

Step 2: Find the prime factorization of 12827

12827 = 101 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 = 164442140 = 2 x 2 x 5 x 101 x 127 x 641

Step 4: Therefore, the least common multiple of 12820 and 12827 is 164442140.