Least Common Multiple of 2078 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 2078 and 2080 the smallest integer that is 2161120 that is divisible by both numbers.

Least Common Multiple (LCM) of 2078 and 2080 is 2161120.

LCM(2078,2080) = 2161120

LCM of 2078 and 2080

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

LCM of:
and

Least Common Multiple of 2078 and 2080

LCM of 2078 and 2080 is 2161120

Least common multiple can be found by multiplying the highest exponent prime factors of 2078 and 2080. First we will calculate the prime factors of 2078 and 2080.

Prime Factorization of 2078


2 2078
1039 1039
1

Prime factors of 2078 are 2,1039. Prime factorization of 2078 in exponential form is:

2078 = 21×10391

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 2078 and 2080.

LCM(2078,2080) = 25×51×131×10391
LCM(2078,2080) = 2161120

Factors of 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1, 2, 1039, 2078

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 2078 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 2078 and 2080, than apply into the LCM equation.

GCF(2078,2080) = 2
LCM(2078,2080) = ( 2078 × 2080) / 2
LCM(2078,2080) = 4322240 / 2
LCM(2078,2080) = 2161120

Properties of LCM 2078 and 2080

(i) The LCM of 2080 and 2078 is associative

LCM of 2078 and 2080 = LCM of 2080 and 2078

Related Least Common Multiples of 2078

Related Least Common Multiples of 2080

Frequently Asked Questions on LCM of 2078 and 2080

1. What is the LCM of 2078 and 2080?

Answer: LCM of 2078 and 2080 is 2161120.

2. What are the Factors of 2078?

Answer: Factors of 2078 are 1, 2, 1039, 2078. There are 4 integers that are factors of 2078. The greatest factor of 2078 is 2078.

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 2078 and 2080?

Answer:

Least Common Multiple of 2078 and 2080 = 2161120

Step 1: Find the prime factorization of 2078

2078 = 2 x 1039

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 = 2161120 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 1039

Step 4: Therefore, the least common multiple of 2078 and 2080 is 2161120.