Least Common Multiple of 5036 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 5036 and 5040 the smallest integer that is 6345360 that is divisible by both numbers.

Least Common Multiple (LCM) of 5036 and 5040 is 6345360.

LCM(5036,5040) = 6345360

LCM of 5036 and 5040

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

LCM of:
and

Least Common Multiple of 5036 and 5040

LCM of 5036 and 5040 is 6345360

Least common multiple can be found by multiplying the highest exponent prime factors of 5036 and 5040. First we will calculate the prime factors of 5036 and 5040.

Prime Factorization of 5036


2 5036
2 2518
1259 1259
1

Prime factors of 5036 are 2,1259. Prime factorization of 5036 in exponential form is:

5036 = 22×12591

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 5036 and 5040.

LCM(5036,5040) = 24×32×51×71×12591
LCM(5036,5040) = 6345360

Factors of 5036

List of positive integer factors of 5036 that divides 5036 without a remainder.

1, 2, 4, 1259, 2518, 5036

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 5036 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 5036 and 5040, than apply into the LCM equation.

GCF(5036,5040) = 4
LCM(5036,5040) = ( 5036 × 5040) / 4
LCM(5036,5040) = 25381440 / 4
LCM(5036,5040) = 6345360

Properties of LCM 5036 and 5040

(i) The LCM of 5040 and 5036 is associative

LCM of 5036 and 5040 = LCM of 5040 and 5036

Related Least Common Multiples of 5036

Related Least Common Multiples of 5040

Frequently Asked Questions on LCM of 5036 and 5040

1. What is the LCM of 5036 and 5040?

Answer: LCM of 5036 and 5040 is 6345360.

2. What are the Factors of 5036?

Answer: Factors of 5036 are 1, 2, 4, 1259, 2518, 5036. There are 6 integers that are factors of 5036. The greatest factor of 5036 is 5036.

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 5036 and 5040?

Answer:

Least Common Multiple of 5036 and 5040 = 6345360

Step 1: Find the prime factorization of 5036

5036 = 2 x 2 x 1259

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 = 6345360 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 1259

Step 4: Therefore, the least common multiple of 5036 and 5040 is 6345360.