Least Common Multiple of 7062 and 7067

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 7067 the smallest integer that is 49907154 that is divisible by both numbers.

Least Common Multiple (LCM) of 7062 and 7067 is 49907154.

LCM(7062,7067) = 49907154

LCM of 7062 and 7067

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

LCM of:
and

Least Common Multiple of 7062 and 7067

LCM of 7062 and 7067 is 49907154

Least common multiple can be found by multiplying the highest exponent prime factors of 7062 and 7067. First we will calculate the prime factors of 7062 and 7067.

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 7067


37 7067
191 191
1

Prime factors of 7067 are 37,191. Prime factorization of 7067 in exponential form is:

7067 = 371×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 7062 and 7067.

LCM(7062,7067) = 21×31×111×371×1071×1911
LCM(7062,7067) = 49907154

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 7067

List of positive integer factors of 7067 that divides 7067 without a remainder.

1, 37, 191, 7067

Least Common Multiple of 7062 and 7067 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 7067, than apply into the LCM equation.

GCF(7062,7067) = 1
LCM(7062,7067) = ( 7062 × 7067) / 1
LCM(7062,7067) = 49907154 / 1
LCM(7062,7067) = 49907154

Properties of LCM 7062 and 7067

(i) The LCM of 7067 and 7062 is associative

LCM of 7062 and 7067 = LCM of 7067 and 7062

Related Least Common Multiples of 7062

Related Least Common Multiples of 7067

Frequently Asked Questions on LCM of 7062 and 7067

1. What is the LCM of 7062 and 7067?

Answer: LCM of 7062 and 7067 is 49907154.

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 7067?

Answer: Factors of 7067 are 1, 37, 191, 7067. There are 4 integers that are factors of 7067. The greatest factor of 7067 is 7067.

4. How to Find the LCM of 7062 and 7067?

Answer:

Least Common Multiple of 7062 and 7067 = 49907154

Step 1: Find the prime factorization of 7062

7062 = 2 x 3 x 11 x 107

Step 2: Find the prime factorization of 7067

7067 = 37 x 191

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

LCM = 49907154 = 2 x 3 x 11 x 37 x 107 x 191

Step 4: Therefore, the least common multiple of 7062 and 7067 is 49907154.