Least Common Multiple of 7054 and 7058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7054 and 7058 the smallest integer that is 24893566 that is divisible by both numbers.

Least Common Multiple (LCM) of 7054 and 7058 is 24893566.

LCM(7054,7058) = 24893566

LCM of 7054 and 7058

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

LCM of:
and

Least Common Multiple of 7054 and 7058

LCM of 7054 and 7058 is 24893566

Least common multiple can be found by multiplying the highest exponent prime factors of 7054 and 7058. First we will calculate the prime factors of 7054 and 7058.

Prime Factorization of 7054


2 7054
3527 3527
1

Prime factors of 7054 are 2,3527. Prime factorization of 7054 in exponential form is:

7054 = 21×35271

Prime Factorization of 7058


2 7058
3529 3529
1

Prime factors of 7058 are 2,3529. Prime factorization of 7058 in exponential form is:

7058 = 21×35291

Now multiplying the highest exponent prime factors to calculate the LCM of 7054 and 7058.

LCM(7054,7058) = 21×35271×35291
LCM(7054,7058) = 24893566

Factors of 7054

List of positive integer factors of 7054 that divides 7054 without a remainder.

1, 2, 3527, 7054

Factors of 7058

List of positive integer factors of 7058 that divides 7058 without a remainder.

1, 2, 3529, 7058

Least Common Multiple of 7054 and 7058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7054 and 7058, than apply into the LCM equation.

GCF(7054,7058) = 2
LCM(7054,7058) = ( 7054 × 7058) / 2
LCM(7054,7058) = 49787132 / 2
LCM(7054,7058) = 24893566

Properties of LCM 7054 and 7058

(i) The LCM of 7058 and 7054 is associative

LCM of 7054 and 7058 = LCM of 7058 and 7054

Related Least Common Multiples of 7054

Related Least Common Multiples of 7058

Frequently Asked Questions on LCM of 7054 and 7058

1. What is the LCM of 7054 and 7058?

Answer: LCM of 7054 and 7058 is 24893566.

2. What are the Factors of 7054?

Answer: Factors of 7054 are 1, 2, 3527, 7054. There are 4 integers that are factors of 7054. The greatest factor of 7054 is 7054.

3. What are the Factors of 7058?

Answer: Factors of 7058 are 1, 2, 3529, 7058. There are 4 integers that are factors of 7058. The greatest factor of 7058 is 7058.

4. How to Find the LCM of 7054 and 7058?

Answer:

Least Common Multiple of 7054 and 7058 = 24893566

Step 1: Find the prime factorization of 7054

7054 = 2 x 3527

Step 2: Find the prime factorization of 7058

7058 = 2 x 3529

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

LCM = 24893566 = 2 x 3527 x 3529

Step 4: Therefore, the least common multiple of 7054 and 7058 is 24893566.