Least Common Multiple of 7908 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 7908 and 7910 the smallest integer that is 31276140 that is divisible by both numbers.

Least Common Multiple (LCM) of 7908 and 7910 is 31276140.

LCM(7908,7910) = 31276140

LCM of 7908 and 7910

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

LCM of:
and

Least Common Multiple of 7908 and 7910

LCM of 7908 and 7910 is 31276140

Least common multiple can be found by multiplying the highest exponent prime factors of 7908 and 7910. First we will calculate the prime factors of 7908 and 7910.

Prime Factorization of 7908


2 7908
2 3954
3 1977
659 659
1

Prime factors of 7908 are 2, 3,659. Prime factorization of 7908 in exponential form is:

7908 = 22×31×6591

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 7908 and 7910.

LCM(7908,7910) = 22×31×51×71×1131×6591
LCM(7908,7910) = 31276140

Factors of 7908

List of positive integer factors of 7908 that divides 7908 without a remainder.

1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908

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 7908 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 7908 and 7910, than apply into the LCM equation.

GCF(7908,7910) = 2
LCM(7908,7910) = ( 7908 × 7910) / 2
LCM(7908,7910) = 62552280 / 2
LCM(7908,7910) = 31276140

Properties of LCM 7908 and 7910

(i) The LCM of 7910 and 7908 is associative

LCM of 7908 and 7910 = LCM of 7910 and 7908

Related Least Common Multiples of 7908

Related Least Common Multiples of 7910

Frequently Asked Questions on LCM of 7908 and 7910

1. What is the LCM of 7908 and 7910?

Answer: LCM of 7908 and 7910 is 31276140.

2. What are the Factors of 7908?

Answer: Factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908. There are 12 integers that are factors of 7908. The greatest factor of 7908 is 7908.

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 7908 and 7910?

Answer:

Least Common Multiple of 7908 and 7910 = 31276140

Step 1: Find the prime factorization of 7908

7908 = 2 x 2 x 3 x 659

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 = 31276140 = 2 x 2 x 3 x 5 x 7 x 113 x 659

Step 4: Therefore, the least common multiple of 7908 and 7910 is 31276140.