Least Common Multiple of 7900 and 7906

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 7906 the smallest integer that is 31228700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7900 and 7906 is 31228700.

LCM(7900,7906) = 31228700

LCM of 7900 and 7906

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

LCM of:
and

Least Common Multiple of 7900 and 7906

LCM of 7900 and 7906 is 31228700

Least common multiple can be found by multiplying the highest exponent prime factors of 7900 and 7906. First we will calculate the prime factors of 7900 and 7906.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7900 and 7906.

LCM(7900,7906) = 22×52×591×671×791
LCM(7900,7906) = 31228700

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 7906

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

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

Least Common Multiple of 7900 and 7906 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 7906, than apply into the LCM equation.

GCF(7900,7906) = 2
LCM(7900,7906) = ( 7900 × 7906) / 2
LCM(7900,7906) = 62457400 / 2
LCM(7900,7906) = 31228700

Properties of LCM 7900 and 7906

(i) The LCM of 7906 and 7900 is associative

LCM of 7900 and 7906 = LCM of 7906 and 7900

Related Least Common Multiples of 7900

Related Least Common Multiples of 7906

Frequently Asked Questions on LCM of 7900 and 7906

1. What is the LCM of 7900 and 7906?

Answer: LCM of 7900 and 7906 is 31228700.

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 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.

4. How to Find the LCM of 7900 and 7906?

Answer:

Least Common Multiple of 7900 and 7906 = 31228700

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 7906

7906 = 2 x 59 x 67

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

LCM = 31228700 = 2 x 2 x 5 x 5 x 59 x 67 x 79

Step 4: Therefore, the least common multiple of 7900 and 7906 is 31228700.