Least Common Multiple of 7033 and 7040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7033 and 7040 the smallest integer that is 49512320 that is divisible by both numbers.

Least Common Multiple (LCM) of 7033 and 7040 is 49512320.

LCM(7033,7040) = 49512320

LCM of 7033 and 7040

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

LCM of:
and

Least Common Multiple of 7033 and 7040

LCM of 7033 and 7040 is 49512320

Least common multiple can be found by multiplying the highest exponent prime factors of 7033 and 7040. First we will calculate the prime factors of 7033 and 7040.

Prime Factorization of 7033


13 7033
541 541
1

Prime factors of 7033 are 13,541. Prime factorization of 7033 in exponential form is:

7033 = 131×5411

Prime Factorization of 7040


2 7040
2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 7040 are 2, 5,11. Prime factorization of 7040 in exponential form is:

7040 = 27×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 7033 and 7040.

LCM(7033,7040) = 27×51×111×131×5411
LCM(7033,7040) = 49512320

Factors of 7033

List of positive integer factors of 7033 that divides 7033 without a remainder.

1, 13, 541, 7033

Factors of 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040

Least Common Multiple of 7033 and 7040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7033 and 7040, than apply into the LCM equation.

GCF(7033,7040) = 1
LCM(7033,7040) = ( 7033 × 7040) / 1
LCM(7033,7040) = 49512320 / 1
LCM(7033,7040) = 49512320

Properties of LCM 7033 and 7040

(i) The LCM of 7040 and 7033 is associative

LCM of 7033 and 7040 = LCM of 7040 and 7033

Related Least Common Multiples of 7033

Related Least Common Multiples of 7040

Frequently Asked Questions on LCM of 7033 and 7040

1. What is the LCM of 7033 and 7040?

Answer: LCM of 7033 and 7040 is 49512320.

2. What are the Factors of 7033?

Answer: Factors of 7033 are 1, 13, 541, 7033. There are 4 integers that are factors of 7033. The greatest factor of 7033 is 7033.

3. What are the Factors of 7040?

Answer: Factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040. There are 32 integers that are factors of 7040. The greatest factor of 7040 is 7040.

4. How to Find the LCM of 7033 and 7040?

Answer:

Least Common Multiple of 7033 and 7040 = 49512320

Step 1: Find the prime factorization of 7033

7033 = 13 x 541

Step 2: Find the prime factorization of 7040

7040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

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

LCM = 49512320 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 13 x 541

Step 4: Therefore, the least common multiple of 7033 and 7040 is 49512320.