Least Common Multiple of 2075 and 2080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2075 and 2080 the smallest integer that is 863200 that is divisible by both numbers.

Least Common Multiple (LCM) of 2075 and 2080 is 863200.

LCM(2075,2080) = 863200

LCM of 2075 and 2080

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

LCM of:
and

Least Common Multiple of 2075 and 2080

LCM of 2075 and 2080 is 863200

Least common multiple can be found by multiplying the highest exponent prime factors of 2075 and 2080. First we will calculate the prime factors of 2075 and 2080.

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

Prime Factorization of 2080


2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 2080 are 2, 5,13. Prime factorization of 2080 in exponential form is:

2080 = 25×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2075 and 2080.

LCM(2075,2080) = 25×52×131×831
LCM(2075,2080) = 863200

Factors of 2075

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

1, 5, 25, 83, 415, 2075

Factors of 2080

List of positive integer factors of 2080 that divides 2080 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080

Least Common Multiple of 2075 and 2080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2075 and 2080, than apply into the LCM equation.

GCF(2075,2080) = 5
LCM(2075,2080) = ( 2075 × 2080) / 5
LCM(2075,2080) = 4316000 / 5
LCM(2075,2080) = 863200

Properties of LCM 2075 and 2080

(i) The LCM of 2080 and 2075 is associative

LCM of 2075 and 2080 = LCM of 2080 and 2075

Related Least Common Multiples of 2075

Related Least Common Multiples of 2080

Frequently Asked Questions on LCM of 2075 and 2080

1. What is the LCM of 2075 and 2080?

Answer: LCM of 2075 and 2080 is 863200.

2. 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.

3. What are the Factors of 2080?

Answer: Factors of 2080 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080. There are 24 integers that are factors of 2080. The greatest factor of 2080 is 2080.

4. How to Find the LCM of 2075 and 2080?

Answer:

Least Common Multiple of 2075 and 2080 = 863200

Step 1: Find the prime factorization of 2075

2075 = 5 x 5 x 83

Step 2: Find the prime factorization of 2080

2080 = 2 x 2 x 2 x 2 x 2 x 5 x 13

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

LCM = 863200 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13 x 83

Step 4: Therefore, the least common multiple of 2075 and 2080 is 863200.