Least Common Multiple of 7062 and 7066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7062 and 7066 the smallest integer that is 24950046 that is divisible by both numbers.

Least Common Multiple (LCM) of 7062 and 7066 is 24950046.

LCM(7062,7066) = 24950046

LCM of 7062 and 7066

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

LCM of:
and

Least Common Multiple of 7062 and 7066

LCM of 7062 and 7066 is 24950046

Least common multiple can be found by multiplying the highest exponent prime factors of 7062 and 7066. First we will calculate the prime factors of 7062 and 7066.

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

Prime Factorization of 7066


2 7066
3533 3533
1

Prime factors of 7066 are 2,3533. Prime factorization of 7066 in exponential form is:

7066 = 21×35331

Now multiplying the highest exponent prime factors to calculate the LCM of 7062 and 7066.

LCM(7062,7066) = 21×31×111×1071×35331
LCM(7062,7066) = 24950046

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

Factors of 7066

List of positive integer factors of 7066 that divides 7066 without a remainder.

1, 2, 3533, 7066

Least Common Multiple of 7062 and 7066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7062 and 7066, than apply into the LCM equation.

GCF(7062,7066) = 2
LCM(7062,7066) = ( 7062 × 7066) / 2
LCM(7062,7066) = 49900092 / 2
LCM(7062,7066) = 24950046

Properties of LCM 7062 and 7066

(i) The LCM of 7066 and 7062 is associative

LCM of 7062 and 7066 = LCM of 7066 and 7062

Related Least Common Multiples of 7062

Related Least Common Multiples of 7066

Frequently Asked Questions on LCM of 7062 and 7066

1. What is the LCM of 7062 and 7066?

Answer: LCM of 7062 and 7066 is 24950046.

2. 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.

3. What are the Factors of 7066?

Answer: Factors of 7066 are 1, 2, 3533, 7066. There are 4 integers that are factors of 7066. The greatest factor of 7066 is 7066.

4. How to Find the LCM of 7062 and 7066?

Answer:

Least Common Multiple of 7062 and 7066 = 24950046

Step 1: Find the prime factorization of 7062

7062 = 2 x 3 x 11 x 107

Step 2: Find the prime factorization of 7066

7066 = 2 x 3533

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

LCM = 24950046 = 2 x 3 x 11 x 107 x 3533

Step 4: Therefore, the least common multiple of 7062 and 7066 is 24950046.