Least Common Multiple of 7906 and 7910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7906 and 7910 the smallest integer that is 31268230 that is divisible by both numbers.

Least Common Multiple (LCM) of 7906 and 7910 is 31268230.

LCM(7906,7910) = 31268230

LCM of 7906 and 7910

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

LCM of:
and

Least Common Multiple of 7906 and 7910

LCM of 7906 and 7910 is 31268230

Least common multiple can be found by multiplying the highest exponent prime factors of 7906 and 7910. First we will calculate the prime factors of 7906 and 7910.

Prime Factorization of 7906


2 7906
59 3953
67 67
1

Prime factors of 7906 are 2, 59,67. Prime factorization of 7906 in exponential form is:

7906 = 21×591×671

Prime Factorization of 7910


2 7910
5 3955
7 791
113 113
1

Prime factors of 7910 are 2, 5, 7,113. Prime factorization of 7910 in exponential form is:

7910 = 21×51×71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7906 and 7910.

LCM(7906,7910) = 21×51×71×591×671×1131
LCM(7906,7910) = 31268230

Factors of 7906

List of positive integer factors of 7906 that divides 7906 without a remainder.

1, 2, 59, 67, 118, 134, 3953, 7906

Factors of 7910

List of positive integer factors of 7910 that divides 7910 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 113, 226, 565, 791, 1130, 1582, 3955, 7910

Least Common Multiple of 7906 and 7910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7906 and 7910, than apply into the LCM equation.

GCF(7906,7910) = 2
LCM(7906,7910) = ( 7906 × 7910) / 2
LCM(7906,7910) = 62536460 / 2
LCM(7906,7910) = 31268230

Properties of LCM 7906 and 7910

(i) The LCM of 7910 and 7906 is associative

LCM of 7906 and 7910 = LCM of 7910 and 7906

Related Least Common Multiples of 7906

Related Least Common Multiples of 7910

Frequently Asked Questions on LCM of 7906 and 7910

1. What is the LCM of 7906 and 7910?

Answer: LCM of 7906 and 7910 is 31268230.

2. What are the Factors of 7906?

Answer: Factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906. There are 8 integers that are factors of 7906. The greatest factor of 7906 is 7906.

3. What are the Factors of 7910?

Answer: Factors of 7910 are 1, 2, 5, 7, 10, 14, 35, 70, 113, 226, 565, 791, 1130, 1582, 3955, 7910. There are 16 integers that are factors of 7910. The greatest factor of 7910 is 7910.

4. How to Find the LCM of 7906 and 7910?

Answer:

Least Common Multiple of 7906 and 7910 = 31268230

Step 1: Find the prime factorization of 7906

7906 = 2 x 59 x 67

Step 2: Find the prime factorization of 7910

7910 = 2 x 5 x 7 x 113

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

LCM = 31268230 = 2 x 5 x 7 x 59 x 67 x 113

Step 4: Therefore, the least common multiple of 7906 and 7910 is 31268230.