Least Common Multiple of 2071 and 2075

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 2075 the smallest integer that is 4297325 that is divisible by both numbers.

Least Common Multiple (LCM) of 2071 and 2075 is 4297325.

LCM(2071,2075) = 4297325

LCM of 2071 and 2075

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

LCM of:
and

Least Common Multiple of 2071 and 2075

LCM of 2071 and 2075 is 4297325

Least common multiple can be found by multiplying the highest exponent prime factors of 2071 and 2075. First we will calculate the prime factors of 2071 and 2075.

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 2075


5 2075
5 415
83 83
1

Prime factors of 2075 are 5,83. Prime factorization of 2075 in exponential form is:

2075 = 52×831

Now multiplying the highest exponent prime factors to calculate the LCM of 2071 and 2075.

LCM(2071,2075) = 52×191×831×1091
LCM(2071,2075) = 4297325

Factors of 2071

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

1, 19, 109, 2071

Factors of 2075

List of positive integer factors of 2075 that divides 2075 without a remainder.

1, 5, 25, 83, 415, 2075

Least Common Multiple of 2071 and 2075 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 2075, than apply into the LCM equation.

GCF(2071,2075) = 1
LCM(2071,2075) = ( 2071 × 2075) / 1
LCM(2071,2075) = 4297325 / 1
LCM(2071,2075) = 4297325

Properties of LCM 2071 and 2075

(i) The LCM of 2075 and 2071 is associative

LCM of 2071 and 2075 = LCM of 2075 and 2071

Related Least Common Multiples of 2071

Related Least Common Multiples of 2075

Frequently Asked Questions on LCM of 2071 and 2075

1. What is the LCM of 2071 and 2075?

Answer: LCM of 2071 and 2075 is 4297325.

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 2075?

Answer: Factors of 2075 are 1, 5, 25, 83, 415, 2075. There are 6 integers that are factors of 2075. The greatest factor of 2075 is 2075.

4. How to Find the LCM of 2071 and 2075?

Answer:

Least Common Multiple of 2071 and 2075 = 4297325

Step 1: Find the prime factorization of 2071

2071 = 19 x 109

Step 2: Find the prime factorization of 2075

2075 = 5 x 5 x 83

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

LCM = 4297325 = 5 x 5 x 19 x 83 x 109

Step 4: Therefore, the least common multiple of 2071 and 2075 is 4297325.