Least Common Multiple of 7054 and 7062

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 7062 the smallest integer that is 24907674 that is divisible by both numbers.

Least Common Multiple (LCM) of 7054 and 7062 is 24907674.

LCM(7054,7062) = 24907674

LCM of 7054 and 7062

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

LCM of:
and

Least Common Multiple of 7054 and 7062

LCM of 7054 and 7062 is 24907674

Least common multiple can be found by multiplying the highest exponent prime factors of 7054 and 7062. First we will calculate the prime factors of 7054 and 7062.

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 7062


2 7062
3 3531
11 1177
107 107
1

Prime factors of 7062 are 2, 3, 11,107. Prime factorization of 7062 in exponential form is:

7062 = 21×31×111×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7054 and 7062.

LCM(7054,7062) = 21×31×111×1071×35271
LCM(7054,7062) = 24907674

Factors of 7054

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

1, 2, 3527, 7054

Factors of 7062

List of positive integer factors of 7062 that divides 7062 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 107, 214, 321, 642, 1177, 2354, 3531, 7062

Least Common Multiple of 7054 and 7062 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 7062, than apply into the LCM equation.

GCF(7054,7062) = 2
LCM(7054,7062) = ( 7054 × 7062) / 2
LCM(7054,7062) = 49815348 / 2
LCM(7054,7062) = 24907674

Properties of LCM 7054 and 7062

(i) The LCM of 7062 and 7054 is associative

LCM of 7054 and 7062 = LCM of 7062 and 7054

Related Least Common Multiples of 7054

Related Least Common Multiples of 7062

Frequently Asked Questions on LCM of 7054 and 7062

1. What is the LCM of 7054 and 7062?

Answer: LCM of 7054 and 7062 is 24907674.

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 7062?

Answer: Factors of 7062 are 1, 2, 3, 6, 11, 22, 33, 66, 107, 214, 321, 642, 1177, 2354, 3531, 7062. There are 16 integers that are factors of 7062. The greatest factor of 7062 is 7062.

4. How to Find the LCM of 7054 and 7062?

Answer:

Least Common Multiple of 7054 and 7062 = 24907674

Step 1: Find the prime factorization of 7054

7054 = 2 x 3527

Step 2: Find the prime factorization of 7062

7062 = 2 x 3 x 11 x 107

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

LCM = 24907674 = 2 x 3 x 11 x 107 x 3527

Step 4: Therefore, the least common multiple of 7054 and 7062 is 24907674.