Least Common Multiple of 7899 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 7899 and 7906 the smallest integer that is 62449494 that is divisible by both numbers.

Least Common Multiple (LCM) of 7899 and 7906 is 62449494.

LCM(7899,7906) = 62449494

LCM of 7899 and 7906

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

LCM of:
and

Least Common Multiple of 7899 and 7906

LCM of 7899 and 7906 is 62449494

Least common multiple can be found by multiplying the highest exponent prime factors of 7899 and 7906. First we will calculate the prime factors of 7899 and 7906.

Prime Factorization of 7899


3 7899
2633 2633
1

Prime factors of 7899 are 3,2633. Prime factorization of 7899 in exponential form is:

7899 = 31×26331

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 7899 and 7906.

LCM(7899,7906) = 21×31×591×671×26331
LCM(7899,7906) = 62449494

Factors of 7899

List of positive integer factors of 7899 that divides 7899 without a remainder.

1, 3, 2633, 7899

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 7899 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 7899 and 7906, than apply into the LCM equation.

GCF(7899,7906) = 1
LCM(7899,7906) = ( 7899 × 7906) / 1
LCM(7899,7906) = 62449494 / 1
LCM(7899,7906) = 62449494

Properties of LCM 7899 and 7906

(i) The LCM of 7906 and 7899 is associative

LCM of 7899 and 7906 = LCM of 7906 and 7899

Related Least Common Multiples of 7899

Related Least Common Multiples of 7906

Frequently Asked Questions on LCM of 7899 and 7906

1. What is the LCM of 7899 and 7906?

Answer: LCM of 7899 and 7906 is 62449494.

2. What are the Factors of 7899?

Answer: Factors of 7899 are 1, 3, 2633, 7899. There are 4 integers that are factors of 7899. The greatest factor of 7899 is 7899.

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 7899 and 7906?

Answer:

Least Common Multiple of 7899 and 7906 = 62449494

Step 1: Find the prime factorization of 7899

7899 = 3 x 2633

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 = 62449494 = 2 x 3 x 59 x 67 x 2633

Step 4: Therefore, the least common multiple of 7899 and 7906 is 62449494.