Least Common Multiple of 7900 and 7908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7900 and 7908 the smallest integer that is 15618300 that is divisible by both numbers.

Least Common Multiple (LCM) of 7900 and 7908 is 15618300.

LCM(7900,7908) = 15618300

LCM of 7900 and 7908

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

LCM of:
and

Least Common Multiple of 7900 and 7908

LCM of 7900 and 7908 is 15618300

Least common multiple can be found by multiplying the highest exponent prime factors of 7900 and 7908. First we will calculate the prime factors of 7900 and 7908.

Prime Factorization of 7900


2 7900
2 3950
5 1975
5 395
79 79
1

Prime factors of 7900 are 2, 5,79. Prime factorization of 7900 in exponential form is:

7900 = 22×52×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7900 and 7908.

LCM(7900,7908) = 22×31×52×791×6591
LCM(7900,7908) = 15618300

Factors of 7900

List of positive integer factors of 7900 that divides 7900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900

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

Least Common Multiple of 7900 and 7908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7900 and 7908, than apply into the LCM equation.

GCF(7900,7908) = 4
LCM(7900,7908) = ( 7900 × 7908) / 4
LCM(7900,7908) = 62473200 / 4
LCM(7900,7908) = 15618300

Properties of LCM 7900 and 7908

(i) The LCM of 7908 and 7900 is associative

LCM of 7900 and 7908 = LCM of 7908 and 7900

Related Least Common Multiples of 7900

Related Least Common Multiples of 7908

Frequently Asked Questions on LCM of 7900 and 7908

1. What is the LCM of 7900 and 7908?

Answer: LCM of 7900 and 7908 is 15618300.

2. What are the Factors of 7900?

Answer: Factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900. There are 18 integers that are factors of 7900. The greatest factor of 7900 is 7900.

3. 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.

4. How to Find the LCM of 7900 and 7908?

Answer:

Least Common Multiple of 7900 and 7908 = 15618300

Step 1: Find the prime factorization of 7900

7900 = 2 x 2 x 5 x 5 x 79

Step 2: Find the prime factorization of 7908

7908 = 2 x 2 x 3 x 659

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

LCM = 15618300 = 2 x 2 x 3 x 5 x 5 x 79 x 659

Step 4: Therefore, the least common multiple of 7900 and 7908 is 15618300.