Least Common Multiple of 7040 and 7042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7040 and 7042 the smallest integer that is 24787840 that is divisible by both numbers.

Least Common Multiple (LCM) of 7040 and 7042 is 24787840.

LCM(7040,7042) = 24787840

LCM of 7040 and 7042

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

LCM of:
and

Least Common Multiple of 7040 and 7042

LCM of 7040 and 7042 is 24787840

Least common multiple can be found by multiplying the highest exponent prime factors of 7040 and 7042. First we will calculate the prime factors of 7040 and 7042.

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

Prime Factorization of 7042


2 7042
7 3521
503 503
1

Prime factors of 7042 are 2, 7,503. Prime factorization of 7042 in exponential form is:

7042 = 21×71×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 7040 and 7042.

LCM(7040,7042) = 27×51×71×111×5031
LCM(7040,7042) = 24787840

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

Factors of 7042

List of positive integer factors of 7042 that divides 7042 without a remainder.

1, 2, 7, 14, 503, 1006, 3521, 7042

Least Common Multiple of 7040 and 7042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7040 and 7042, than apply into the LCM equation.

GCF(7040,7042) = 2
LCM(7040,7042) = ( 7040 × 7042) / 2
LCM(7040,7042) = 49575680 / 2
LCM(7040,7042) = 24787840

Properties of LCM 7040 and 7042

(i) The LCM of 7042 and 7040 is associative

LCM of 7040 and 7042 = LCM of 7042 and 7040

Related Least Common Multiples of 7040

Related Least Common Multiples of 7042

Frequently Asked Questions on LCM of 7040 and 7042

1. What is the LCM of 7040 and 7042?

Answer: LCM of 7040 and 7042 is 24787840.

2. 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.

3. What are the Factors of 7042?

Answer: Factors of 7042 are 1, 2, 7, 14, 503, 1006, 3521, 7042. There are 8 integers that are factors of 7042. The greatest factor of 7042 is 7042.

4. How to Find the LCM of 7040 and 7042?

Answer:

Least Common Multiple of 7040 and 7042 = 24787840

Step 1: 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 2: Find the prime factorization of 7042

7042 = 2 x 7 x 503

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

LCM = 24787840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 x 503

Step 4: Therefore, the least common multiple of 7040 and 7042 is 24787840.