Least Common Multiple of 2077 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 2077 and 2080 the smallest integer that is 4320160 that is divisible by both numbers.

Least Common Multiple (LCM) of 2077 and 2080 is 4320160.

LCM(2077,2080) = 4320160

LCM of 2077 and 2080

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

LCM of:
and

Least Common Multiple of 2077 and 2080

LCM of 2077 and 2080 is 4320160

Least common multiple can be found by multiplying the highest exponent prime factors of 2077 and 2080. First we will calculate the prime factors of 2077 and 2080.

Prime Factorization of 2077


31 2077
67 67
1

Prime factors of 2077 are 31,67. Prime factorization of 2077 in exponential form is:

2077 = 311×671

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 2077 and 2080.

LCM(2077,2080) = 25×51×131×311×671
LCM(2077,2080) = 4320160

Factors of 2077

List of positive integer factors of 2077 that divides 2077 without a remainder.

1, 31, 67, 2077

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 2077 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 2077 and 2080, than apply into the LCM equation.

GCF(2077,2080) = 1
LCM(2077,2080) = ( 2077 × 2080) / 1
LCM(2077,2080) = 4320160 / 1
LCM(2077,2080) = 4320160

Properties of LCM 2077 and 2080

(i) The LCM of 2080 and 2077 is associative

LCM of 2077 and 2080 = LCM of 2080 and 2077

Related Least Common Multiples of 2077

Related Least Common Multiples of 2080

Frequently Asked Questions on LCM of 2077 and 2080

1. What is the LCM of 2077 and 2080?

Answer: LCM of 2077 and 2080 is 4320160.

2. What are the Factors of 2077?

Answer: Factors of 2077 are 1, 31, 67, 2077. There are 4 integers that are factors of 2077. The greatest factor of 2077 is 2077.

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 2077 and 2080?

Answer:

Least Common Multiple of 2077 and 2080 = 4320160

Step 1: Find the prime factorization of 2077

2077 = 31 x 67

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 = 4320160 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 31 x 67

Step 4: Therefore, the least common multiple of 2077 and 2080 is 4320160.