Least Common Multiple of 5040 and 5042

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 5042 the smallest integer that is 12705840 that is divisible by both numbers.

Least Common Multiple (LCM) of 5040 and 5042 is 12705840.

LCM(5040,5042) = 12705840

LCM of 5040 and 5042

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

LCM of:
and

Least Common Multiple of 5040 and 5042

LCM of 5040 and 5042 is 12705840

Least common multiple can be found by multiplying the highest exponent prime factors of 5040 and 5042. First we will calculate the prime factors of 5040 and 5042.

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 5042


2 5042
2521 2521
1

Prime factors of 5042 are 2,2521. Prime factorization of 5042 in exponential form is:

5042 = 21×25211

Now multiplying the highest exponent prime factors to calculate the LCM of 5040 and 5042.

LCM(5040,5042) = 24×32×51×71×25211
LCM(5040,5042) = 12705840

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 5042

List of positive integer factors of 5042 that divides 5042 without a remainder.

1, 2, 2521, 5042

Least Common Multiple of 5040 and 5042 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 5042, than apply into the LCM equation.

GCF(5040,5042) = 2
LCM(5040,5042) = ( 5040 × 5042) / 2
LCM(5040,5042) = 25411680 / 2
LCM(5040,5042) = 12705840

Properties of LCM 5040 and 5042

(i) The LCM of 5042 and 5040 is associative

LCM of 5040 and 5042 = LCM of 5042 and 5040

Related Least Common Multiples of 5040

Related Least Common Multiples of 5042

Frequently Asked Questions on LCM of 5040 and 5042

1. What is the LCM of 5040 and 5042?

Answer: LCM of 5040 and 5042 is 12705840.

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 5042?

Answer: Factors of 5042 are 1, 2, 2521, 5042. There are 4 integers that are factors of 5042. The greatest factor of 5042 is 5042.

4. How to Find the LCM of 5040 and 5042?

Answer:

Least Common Multiple of 5040 and 5042 = 12705840

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 5042

5042 = 2 x 2521

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

LCM = 12705840 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 2521

Step 4: Therefore, the least common multiple of 5040 and 5042 is 12705840.