Least Common Multiple of 5072 and 5080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5072 and 5080 the smallest integer that is 3220720 that is divisible by both numbers.

Least Common Multiple (LCM) of 5072 and 5080 is 3220720.

LCM(5072,5080) = 3220720

LCM of 5072 and 5080

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

LCM of:
and

Least Common Multiple of 5072 and 5080

LCM of 5072 and 5080 is 3220720

Least common multiple can be found by multiplying the highest exponent prime factors of 5072 and 5080. First we will calculate the prime factors of 5072 and 5080.

Prime Factorization of 5072


2 5072
2 2536
2 1268
2 634
317 317
1

Prime factors of 5072 are 2,317. Prime factorization of 5072 in exponential form is:

5072 = 24×3171

Prime Factorization of 5080


2 5080
2 2540
2 1270
5 635
127 127
1

Prime factors of 5080 are 2, 5,127. Prime factorization of 5080 in exponential form is:

5080 = 23×51×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 5072 and 5080.

LCM(5072,5080) = 24×51×1271×3171
LCM(5072,5080) = 3220720

Factors of 5072

List of positive integer factors of 5072 that divides 5072 without a remainder.

1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072

Factors of 5080

List of positive integer factors of 5080 that divides 5080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080

Least Common Multiple of 5072 and 5080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5072 and 5080, than apply into the LCM equation.

GCF(5072,5080) = 8
LCM(5072,5080) = ( 5072 × 5080) / 8
LCM(5072,5080) = 25765760 / 8
LCM(5072,5080) = 3220720

Properties of LCM 5072 and 5080

(i) The LCM of 5080 and 5072 is associative

LCM of 5072 and 5080 = LCM of 5080 and 5072

Related Least Common Multiples of 5072

Related Least Common Multiples of 5080

Frequently Asked Questions on LCM of 5072 and 5080

1. What is the LCM of 5072 and 5080?

Answer: LCM of 5072 and 5080 is 3220720.

2. What are the Factors of 5072?

Answer: Factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072. There are 10 integers that are factors of 5072. The greatest factor of 5072 is 5072.

3. What are the Factors of 5080?

Answer: Factors of 5080 are 1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080. There are 16 integers that are factors of 5080. The greatest factor of 5080 is 5080.

4. How to Find the LCM of 5072 and 5080?

Answer:

Least Common Multiple of 5072 and 5080 = 3220720

Step 1: Find the prime factorization of 5072

5072 = 2 x 2 x 2 x 2 x 317

Step 2: Find the prime factorization of 5080

5080 = 2 x 2 x 2 x 5 x 127

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

LCM = 3220720 = 2 x 2 x 2 x 2 x 5 x 127 x 317

Step 4: Therefore, the least common multiple of 5072 and 5080 is 3220720.