Least Common Multiple of 5035 and 5040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5035 and 5040 the smallest integer that is 5075280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5035 and 5040 is 5075280.

LCM(5035,5040) = 5075280

LCM of 5035 and 5040

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

LCM of:
and

Least Common Multiple of 5035 and 5040

LCM of 5035 and 5040 is 5075280

Least common multiple can be found by multiplying the highest exponent prime factors of 5035 and 5040. First we will calculate the prime factors of 5035 and 5040.

Prime Factorization of 5035


5 5035
19 1007
53 53
1

Prime factors of 5035 are 5, 19,53. Prime factorization of 5035 in exponential form is:

5035 = 51×191×531

Prime Factorization of 5040


2 5040
2 2520
2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 5040 are 2, 3, 5,7. Prime factorization of 5040 in exponential form is:

5040 = 24×32×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 5035 and 5040.

LCM(5035,5040) = 24×32×51×71×191×531
LCM(5035,5040) = 5075280

Factors of 5035

List of positive integer factors of 5035 that divides 5035 without a remainder.

1, 5, 19, 53, 95, 265, 1007, 5035

Factors of 5040

List of positive integer factors of 5040 that divides 5040 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040

Least Common Multiple of 5035 and 5040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5035 and 5040, than apply into the LCM equation.

GCF(5035,5040) = 5
LCM(5035,5040) = ( 5035 × 5040) / 5
LCM(5035,5040) = 25376400 / 5
LCM(5035,5040) = 5075280

Properties of LCM 5035 and 5040

(i) The LCM of 5040 and 5035 is associative

LCM of 5035 and 5040 = LCM of 5040 and 5035

Related Least Common Multiples of 5035

Related Least Common Multiples of 5040

Frequently Asked Questions on LCM of 5035 and 5040

1. What is the LCM of 5035 and 5040?

Answer: LCM of 5035 and 5040 is 5075280.

2. What are the Factors of 5035?

Answer: Factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035. There are 8 integers that are factors of 5035. The greatest factor of 5035 is 5035.

3. What are the Factors of 5040?

Answer: Factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040. There are 60 integers that are factors of 5040. The greatest factor of 5040 is 5040.

4. How to Find the LCM of 5035 and 5040?

Answer:

Least Common Multiple of 5035 and 5040 = 5075280

Step 1: Find the prime factorization of 5035

5035 = 5 x 19 x 53

Step 2: Find the prime factorization of 5040

5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7

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

LCM = 5075280 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 x 53

Step 4: Therefore, the least common multiple of 5035 and 5040 is 5075280.