Least Common Multiple of 7062 and 7070

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 7070 the smallest integer that is 24964170 that is divisible by both numbers.

Least Common Multiple (LCM) of 7062 and 7070 is 24964170.

LCM(7062,7070) = 24964170

LCM of 7062 and 7070

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

LCM of:
and

Least Common Multiple of 7062 and 7070

LCM of 7062 and 7070 is 24964170

Least common multiple can be found by multiplying the highest exponent prime factors of 7062 and 7070. First we will calculate the prime factors of 7062 and 7070.

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 7070


2 7070
5 3535
7 707
101 101
1

Prime factors of 7070 are 2, 5, 7,101. Prime factorization of 7070 in exponential form is:

7070 = 21×51×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7062 and 7070.

LCM(7062,7070) = 21×31×51×71×111×1011×1071
LCM(7062,7070) = 24964170

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 7070

List of positive integer factors of 7070 that divides 7070 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070

Least Common Multiple of 7062 and 7070 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 7070, than apply into the LCM equation.

GCF(7062,7070) = 2
LCM(7062,7070) = ( 7062 × 7070) / 2
LCM(7062,7070) = 49928340 / 2
LCM(7062,7070) = 24964170

Properties of LCM 7062 and 7070

(i) The LCM of 7070 and 7062 is associative

LCM of 7062 and 7070 = LCM of 7070 and 7062

Related Least Common Multiples of 7062

Related Least Common Multiples of 7070

Frequently Asked Questions on LCM of 7062 and 7070

1. What is the LCM of 7062 and 7070?

Answer: LCM of 7062 and 7070 is 24964170.

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 7070?

Answer: Factors of 7070 are 1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070. There are 16 integers that are factors of 7070. The greatest factor of 7070 is 7070.

4. How to Find the LCM of 7062 and 7070?

Answer:

Least Common Multiple of 7062 and 7070 = 24964170

Step 1: Find the prime factorization of 7062

7062 = 2 x 3 x 11 x 107

Step 2: Find the prime factorization of 7070

7070 = 2 x 5 x 7 x 101

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

LCM = 24964170 = 2 x 3 x 5 x 7 x 11 x 101 x 107

Step 4: Therefore, the least common multiple of 7062 and 7070 is 24964170.