Least Common Multiple of 4076 and 4080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4076 and 4080 the smallest integer that is 4157520 that is divisible by both numbers.

Least Common Multiple (LCM) of 4076 and 4080 is 4157520.

LCM(4076,4080) = 4157520

LCM of 4076 and 4080

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

LCM of:
and

Least Common Multiple of 4076 and 4080

LCM of 4076 and 4080 is 4157520

Least common multiple can be found by multiplying the highest exponent prime factors of 4076 and 4080. First we will calculate the prime factors of 4076 and 4080.

Prime Factorization of 4076


2 4076
2 2038
1019 1019
1

Prime factors of 4076 are 2,1019. Prime factorization of 4076 in exponential form is:

4076 = 22×10191

Prime Factorization of 4080


2 4080
2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 4080 are 2, 3, 5,17. Prime factorization of 4080 in exponential form is:

4080 = 24×31×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4076 and 4080.

LCM(4076,4080) = 24×31×51×171×10191
LCM(4076,4080) = 4157520

Factors of 4076

List of positive integer factors of 4076 that divides 4076 without a remainder.

1, 2, 4, 1019, 2038, 4076

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080

Least Common Multiple of 4076 and 4080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4076 and 4080, than apply into the LCM equation.

GCF(4076,4080) = 4
LCM(4076,4080) = ( 4076 × 4080) / 4
LCM(4076,4080) = 16630080 / 4
LCM(4076,4080) = 4157520

Properties of LCM 4076 and 4080

(i) The LCM of 4080 and 4076 is associative

LCM of 4076 and 4080 = LCM of 4080 and 4076

Related Least Common Multiples of 4076

Related Least Common Multiples of 4080

Frequently Asked Questions on LCM of 4076 and 4080

1. What is the LCM of 4076 and 4080?

Answer: LCM of 4076 and 4080 is 4157520.

2. What are the Factors of 4076?

Answer: Factors of 4076 are 1, 2, 4, 1019, 2038, 4076. There are 6 integers that are factors of 4076. The greatest factor of 4076 is 4076.

3. What are the Factors of 4080?

Answer: Factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080. There are 40 integers that are factors of 4080. The greatest factor of 4080 is 4080.

4. How to Find the LCM of 4076 and 4080?

Answer:

Least Common Multiple of 4076 and 4080 = 4157520

Step 1: Find the prime factorization of 4076

4076 = 2 x 2 x 1019

Step 2: Find the prime factorization of 4080

4080 = 2 x 2 x 2 x 2 x 3 x 5 x 17

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

LCM = 4157520 = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 1019

Step 4: Therefore, the least common multiple of 4076 and 4080 is 4157520.