Least Common Multiple of 907 and 913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 907 and 913 the smallest integer that is 828091 that is divisible by both numbers.

Least Common Multiple (LCM) of 907 and 913 is 828091.

LCM(907,913) = 828091

LCM of 907 and 913

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

LCM of:
and

Least Common Multiple of 907 and 913

LCM of 907 and 913 is 828091

Least common multiple can be found by multiplying the highest exponent prime factors of 907 and 913. First we will calculate the prime factors of 907 and 913.

Prime Factorization of 907


907 907
1

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

907 = 9071

Prime Factorization of 913


11 913
83 83
1

Prime factors of 913 are 11,83. Prime factorization of 913 in exponential form is:

913 = 111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 907 and 913.

LCM(907,913) = 111×831×9071
LCM(907,913) = 828091

Factors of 907

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

1, 907

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Least Common Multiple of 907 and 913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 907 and 913, than apply into the LCM equation.

GCF(907,913) = 1
LCM(907,913) = ( 907 × 913) / 1
LCM(907,913) = 828091 / 1
LCM(907,913) = 828091

Properties of LCM 907 and 913

(i) The LCM of 913 and 907 is associative

LCM of 907 and 913 = LCM of 913 and 907

Related Least Common Multiples of 907

Related Least Common Multiples of 913

Frequently Asked Questions on LCM of 907 and 913

1. What is the LCM of 907 and 913?

Answer: LCM of 907 and 913 is 828091.

2. 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.

3. What are the Factors of 913?

Answer: Factors of 913 are 1, 11, 83, 913. There are 4 integers that are factors of 913. The greatest factor of 913 is 913.

4. How to Find the LCM of 907 and 913?

Answer:

Least Common Multiple of 907 and 913 = 828091

Step 1: Find the prime factorization of 907

907 = 907

Step 2: Find the prime factorization of 913

913 = 11 x 83

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

LCM = 828091 = 11 x 83 x 907

Step 4: Therefore, the least common multiple of 907 and 913 is 828091.