Least Common Multiple of 5040 and 5045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5040 and 5045 the smallest integer that is 5085360 that is divisible by both numbers.

Least Common Multiple (LCM) of 5040 and 5045 is 5085360.

LCM(5040,5045) = 5085360

LCM of 5040 and 5045

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

LCM of:
and

Least Common Multiple of 5040 and 5045

LCM of 5040 and 5045 is 5085360

Least common multiple can be found by multiplying the highest exponent prime factors of 5040 and 5045. First we will calculate the prime factors of 5040 and 5045.

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

Prime Factorization of 5045


5 5045
1009 1009
1

Prime factors of 5045 are 5,1009. Prime factorization of 5045 in exponential form is:

5045 = 51×10091

Now multiplying the highest exponent prime factors to calculate the LCM of 5040 and 5045.

LCM(5040,5045) = 24×32×51×71×10091
LCM(5040,5045) = 5085360

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

Factors of 5045

List of positive integer factors of 5045 that divides 5045 without a remainder.

1, 5, 1009, 5045

Least Common Multiple of 5040 and 5045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5040 and 5045, than apply into the LCM equation.

GCF(5040,5045) = 5
LCM(5040,5045) = ( 5040 × 5045) / 5
LCM(5040,5045) = 25426800 / 5
LCM(5040,5045) = 5085360

Properties of LCM 5040 and 5045

(i) The LCM of 5045 and 5040 is associative

LCM of 5040 and 5045 = LCM of 5045 and 5040

Related Least Common Multiples of 5040

Related Least Common Multiples of 5045

Frequently Asked Questions on LCM of 5040 and 5045

1. What is the LCM of 5040 and 5045?

Answer: LCM of 5040 and 5045 is 5085360.

2. 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.

3. What are the Factors of 5045?

Answer: Factors of 5045 are 1, 5, 1009, 5045. There are 4 integers that are factors of 5045. The greatest factor of 5045 is 5045.

4. How to Find the LCM of 5040 and 5045?

Answer:

Least Common Multiple of 5040 and 5045 = 5085360

Step 1: Find the prime factorization of 5040

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

Step 2: Find the prime factorization of 5045

5045 = 5 x 1009

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

LCM = 5085360 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 1009

Step 4: Therefore, the least common multiple of 5040 and 5045 is 5085360.