Least Common Multiple of 899 and 907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 899 and 907 the smallest integer that is 815393 that is divisible by both numbers.

Least Common Multiple (LCM) of 899 and 907 is 815393.

LCM(899,907) = 815393

LCM of 899 and 907

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

LCM of:
and

Least Common Multiple of 899 and 907

LCM of 899 and 907 is 815393

Least common multiple can be found by multiplying the highest exponent prime factors of 899 and 907. First we will calculate the prime factors of 899 and 907.

Prime Factorization of 899


29 899
31 31
1

Prime factors of 899 are 29,31. Prime factorization of 899 in exponential form is:

899 = 291×311

Prime Factorization of 907


907 907
1

Prime factors of 907 are 907. Prime factorization of 907 in exponential form is:

907 = 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 899 and 907.

LCM(899,907) = 291×311×9071
LCM(899,907) = 815393

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1, 907

Least Common Multiple of 899 and 907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 899 and 907, than apply into the LCM equation.

GCF(899,907) = 1
LCM(899,907) = ( 899 × 907) / 1
LCM(899,907) = 815393 / 1
LCM(899,907) = 815393

Properties of LCM 899 and 907

(i) The LCM of 907 and 899 is associative

LCM of 899 and 907 = LCM of 907 and 899

Related Least Common Multiples of 899

Related Least Common Multiples of 907

Frequently Asked Questions on LCM of 899 and 907

1. What is the LCM of 899 and 907?

Answer: LCM of 899 and 907 is 815393.

2. What are the Factors of 899?

Answer: Factors of 899 are 1, 29, 31, 899. There are 4 integers that are factors of 899. The greatest factor of 899 is 899.

3. What are the Factors of 907?

Answer: Factors of 907 are 1, 907. There are 2 integers that are factors of 907. The greatest factor of 907 is 907.

4. How to Find the LCM of 899 and 907?

Answer:

Least Common Multiple of 899 and 907 = 815393

Step 1: Find the prime factorization of 899

899 = 29 x 31

Step 2: Find the prime factorization of 907

907 = 907

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

LCM = 815393 = 29 x 31 x 907

Step 4: Therefore, the least common multiple of 899 and 907 is 815393.