Least Common Multiple of 5040 and 5046

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 5046 the smallest integer that is 4238640 that is divisible by both numbers.

Least Common Multiple (LCM) of 5040 and 5046 is 4238640.

LCM(5040,5046) = 4238640

LCM of 5040 and 5046

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

LCM of:
and

Least Common Multiple of 5040 and 5046

LCM of 5040 and 5046 is 4238640

Least common multiple can be found by multiplying the highest exponent prime factors of 5040 and 5046. First we will calculate the prime factors of 5040 and 5046.

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 5046


2 5046
3 2523
29 841
29 29
1

Prime factors of 5046 are 2, 3,29. Prime factorization of 5046 in exponential form is:

5046 = 21×31×292

Now multiplying the highest exponent prime factors to calculate the LCM of 5040 and 5046.

LCM(5040,5046) = 24×32×51×71×292
LCM(5040,5046) = 4238640

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 5046

List of positive integer factors of 5046 that divides 5046 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046

Least Common Multiple of 5040 and 5046 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 5046, than apply into the LCM equation.

GCF(5040,5046) = 6
LCM(5040,5046) = ( 5040 × 5046) / 6
LCM(5040,5046) = 25431840 / 6
LCM(5040,5046) = 4238640

Properties of LCM 5040 and 5046

(i) The LCM of 5046 and 5040 is associative

LCM of 5040 and 5046 = LCM of 5046 and 5040

Related Least Common Multiples of 5040

Related Least Common Multiples of 5046

Frequently Asked Questions on LCM of 5040 and 5046

1. What is the LCM of 5040 and 5046?

Answer: LCM of 5040 and 5046 is 4238640.

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 5046?

Answer: Factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046. There are 12 integers that are factors of 5046. The greatest factor of 5046 is 5046.

4. How to Find the LCM of 5040 and 5046?

Answer:

Least Common Multiple of 5040 and 5046 = 4238640

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 5046

5046 = 2 x 3 x 29 x 29

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

LCM = 4238640 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 29 x 29

Step 4: Therefore, the least common multiple of 5040 and 5046 is 4238640.