Least Common Multiple of 5040 and 5047

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 5047 the smallest integer that is 3633840 that is divisible by both numbers.

Least Common Multiple (LCM) of 5040 and 5047 is 3633840.

LCM(5040,5047) = 3633840

LCM of 5040 and 5047

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

LCM of:
and

Least Common Multiple of 5040 and 5047

LCM of 5040 and 5047 is 3633840

Least common multiple can be found by multiplying the highest exponent prime factors of 5040 and 5047. First we will calculate the prime factors of 5040 and 5047.

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 5047


7 5047
7 721
103 103
1

Prime factors of 5047 are 7,103. Prime factorization of 5047 in exponential form is:

5047 = 72×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5040 and 5047.

LCM(5040,5047) = 24×32×51×72×1031
LCM(5040,5047) = 3633840

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 5047

List of positive integer factors of 5047 that divides 5047 without a remainder.

1, 7, 49, 103, 721, 5047

Least Common Multiple of 5040 and 5047 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 5047, than apply into the LCM equation.

GCF(5040,5047) = 7
LCM(5040,5047) = ( 5040 × 5047) / 7
LCM(5040,5047) = 25436880 / 7
LCM(5040,5047) = 3633840

Properties of LCM 5040 and 5047

(i) The LCM of 5047 and 5040 is associative

LCM of 5040 and 5047 = LCM of 5047 and 5040

Related Least Common Multiples of 5040

Related Least Common Multiples of 5047

Frequently Asked Questions on LCM of 5040 and 5047

1. What is the LCM of 5040 and 5047?

Answer: LCM of 5040 and 5047 is 3633840.

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 5047?

Answer: Factors of 5047 are 1, 7, 49, 103, 721, 5047. There are 6 integers that are factors of 5047. The greatest factor of 5047 is 5047.

4. How to Find the LCM of 5040 and 5047?

Answer:

Least Common Multiple of 5040 and 5047 = 3633840

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 5047

5047 = 7 x 7 x 103

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

LCM = 3633840 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 103

Step 4: Therefore, the least common multiple of 5040 and 5047 is 3633840.