Least Common Multiple of 5040 and 5048

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 5048 the smallest integer that is 3180240 that is divisible by both numbers.

Least Common Multiple (LCM) of 5040 and 5048 is 3180240.

LCM(5040,5048) = 3180240

LCM of 5040 and 5048

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

LCM of:
and

Least Common Multiple of 5040 and 5048

LCM of 5040 and 5048 is 3180240

Least common multiple can be found by multiplying the highest exponent prime factors of 5040 and 5048. First we will calculate the prime factors of 5040 and 5048.

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 5048


2 5048
2 2524
2 1262
631 631
1

Prime factors of 5048 are 2,631. Prime factorization of 5048 in exponential form is:

5048 = 23×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 5040 and 5048.

LCM(5040,5048) = 24×32×51×71×6311
LCM(5040,5048) = 3180240

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 5048

List of positive integer factors of 5048 that divides 5048 without a remainder.

1, 2, 4, 8, 631, 1262, 2524, 5048

Least Common Multiple of 5040 and 5048 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 5048, than apply into the LCM equation.

GCF(5040,5048) = 8
LCM(5040,5048) = ( 5040 × 5048) / 8
LCM(5040,5048) = 25441920 / 8
LCM(5040,5048) = 3180240

Properties of LCM 5040 and 5048

(i) The LCM of 5048 and 5040 is associative

LCM of 5040 and 5048 = LCM of 5048 and 5040

Related Least Common Multiples of 5040

Related Least Common Multiples of 5048

Frequently Asked Questions on LCM of 5040 and 5048

1. What is the LCM of 5040 and 5048?

Answer: LCM of 5040 and 5048 is 3180240.

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 5048?

Answer: Factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048. There are 8 integers that are factors of 5048. The greatest factor of 5048 is 5048.

4. How to Find the LCM of 5040 and 5048?

Answer:

Least Common Multiple of 5040 and 5048 = 3180240

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 5048

5048 = 2 x 2 x 2 x 631

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

LCM = 3180240 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 631

Step 4: Therefore, the least common multiple of 5040 and 5048 is 3180240.