Least Common Multiple of 7042 and 7048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7042 and 7048 the smallest integer that is 24816008 that is divisible by both numbers.

Least Common Multiple (LCM) of 7042 and 7048 is 24816008.

LCM(7042,7048) = 24816008

LCM of 7042 and 7048

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

LCM of:
and

Least Common Multiple of 7042 and 7048

LCM of 7042 and 7048 is 24816008

Least common multiple can be found by multiplying the highest exponent prime factors of 7042 and 7048. First we will calculate the prime factors of 7042 and 7048.

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

Prime Factorization of 7048


2 7048
2 3524
2 1762
881 881
1

Prime factors of 7048 are 2,881. Prime factorization of 7048 in exponential form is:

7048 = 23×8811

Now multiplying the highest exponent prime factors to calculate the LCM of 7042 and 7048.

LCM(7042,7048) = 23×71×5031×8811
LCM(7042,7048) = 24816008

Factors of 7042

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

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

Factors of 7048

List of positive integer factors of 7048 that divides 7048 without a remainder.

1, 2, 4, 8, 881, 1762, 3524, 7048

Least Common Multiple of 7042 and 7048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7042 and 7048, than apply into the LCM equation.

GCF(7042,7048) = 2
LCM(7042,7048) = ( 7042 × 7048) / 2
LCM(7042,7048) = 49632016 / 2
LCM(7042,7048) = 24816008

Properties of LCM 7042 and 7048

(i) The LCM of 7048 and 7042 is associative

LCM of 7042 and 7048 = LCM of 7048 and 7042

Related Least Common Multiples of 7042

Related Least Common Multiples of 7048

Frequently Asked Questions on LCM of 7042 and 7048

1. What is the LCM of 7042 and 7048?

Answer: LCM of 7042 and 7048 is 24816008.

2. 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.

3. What are the Factors of 7048?

Answer: Factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048. There are 8 integers that are factors of 7048. The greatest factor of 7048 is 7048.

4. How to Find the LCM of 7042 and 7048?

Answer:

Least Common Multiple of 7042 and 7048 = 24816008

Step 1: Find the prime factorization of 7042

7042 = 2 x 7 x 503

Step 2: Find the prime factorization of 7048

7048 = 2 x 2 x 2 x 881

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

LCM = 24816008 = 2 x 2 x 2 x 7 x 503 x 881

Step 4: Therefore, the least common multiple of 7042 and 7048 is 24816008.