Least Common Multiple of 2071 and 2079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2071 and 2079 the smallest integer that is 4305609 that is divisible by both numbers.

Least Common Multiple (LCM) of 2071 and 2079 is 4305609.

LCM(2071,2079) = 4305609

LCM of 2071 and 2079

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

LCM of:
and

Least Common Multiple of 2071 and 2079

LCM of 2071 and 2079 is 4305609

Least common multiple can be found by multiplying the highest exponent prime factors of 2071 and 2079. First we will calculate the prime factors of 2071 and 2079.

Prime Factorization of 2071


19 2071
109 109
1

Prime factors of 2071 are 19,109. Prime factorization of 2071 in exponential form is:

2071 = 191×1091

Prime Factorization of 2079


3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 2079 are 3, 7,11. Prime factorization of 2079 in exponential form is:

2079 = 33×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2071 and 2079.

LCM(2071,2079) = 33×71×111×191×1091
LCM(2071,2079) = 4305609

Factors of 2071

List of positive integer factors of 2071 that divides 2071 without a remainder.

1, 19, 109, 2071

Factors of 2079

List of positive integer factors of 2079 that divides 2079 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079

Least Common Multiple of 2071 and 2079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2071 and 2079, than apply into the LCM equation.

GCF(2071,2079) = 1
LCM(2071,2079) = ( 2071 × 2079) / 1
LCM(2071,2079) = 4305609 / 1
LCM(2071,2079) = 4305609

Properties of LCM 2071 and 2079

(i) The LCM of 2079 and 2071 is associative

LCM of 2071 and 2079 = LCM of 2079 and 2071

Related Least Common Multiples of 2071

Related Least Common Multiples of 2079

Frequently Asked Questions on LCM of 2071 and 2079

1. What is the LCM of 2071 and 2079?

Answer: LCM of 2071 and 2079 is 4305609.

2. What are the Factors of 2071?

Answer: Factors of 2071 are 1, 19, 109, 2071. There are 4 integers that are factors of 2071. The greatest factor of 2071 is 2071.

3. What are the Factors of 2079?

Answer: Factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079. There are 16 integers that are factors of 2079. The greatest factor of 2079 is 2079.

4. How to Find the LCM of 2071 and 2079?

Answer:

Least Common Multiple of 2071 and 2079 = 4305609

Step 1: Find the prime factorization of 2071

2071 = 19 x 109

Step 2: Find the prime factorization of 2079

2079 = 3 x 3 x 3 x 7 x 11

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

LCM = 4305609 = 3 x 3 x 3 x 7 x 11 x 19 x 109

Step 4: Therefore, the least common multiple of 2071 and 2079 is 4305609.