Least Common Multiple of 2076 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 2076 and 2080 the smallest integer that is 1079520 that is divisible by both numbers.

Least Common Multiple (LCM) of 2076 and 2080 is 1079520.

LCM(2076,2080) = 1079520

LCM of 2076 and 2080

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

LCM of:
and

Least Common Multiple of 2076 and 2080

LCM of 2076 and 2080 is 1079520

Least common multiple can be found by multiplying the highest exponent prime factors of 2076 and 2080. First we will calculate the prime factors of 2076 and 2080.

Prime Factorization of 2076


2 2076
2 1038
3 519
173 173
1

Prime factors of 2076 are 2, 3,173. Prime factorization of 2076 in exponential form is:

2076 = 22×31×1731

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 2076 and 2080.

LCM(2076,2080) = 25×31×51×131×1731
LCM(2076,2080) = 1079520

Factors of 2076

List of positive integer factors of 2076 that divides 2076 without a remainder.

1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076

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 2076 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 2076 and 2080, than apply into the LCM equation.

GCF(2076,2080) = 4
LCM(2076,2080) = ( 2076 × 2080) / 4
LCM(2076,2080) = 4318080 / 4
LCM(2076,2080) = 1079520

Properties of LCM 2076 and 2080

(i) The LCM of 2080 and 2076 is associative

LCM of 2076 and 2080 = LCM of 2080 and 2076

Related Least Common Multiples of 2076

Related Least Common Multiples of 2080

Frequently Asked Questions on LCM of 2076 and 2080

1. What is the LCM of 2076 and 2080?

Answer: LCM of 2076 and 2080 is 1079520.

2. What are the Factors of 2076?

Answer: Factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076. There are 12 integers that are factors of 2076. The greatest factor of 2076 is 2076.

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 2076 and 2080?

Answer:

Least Common Multiple of 2076 and 2080 = 1079520

Step 1: Find the prime factorization of 2076

2076 = 2 x 2 x 3 x 173

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 = 1079520 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 173

Step 4: Therefore, the least common multiple of 2076 and 2080 is 1079520.