Least Common Multiple of 901 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 901 and 907 the smallest integer that is 817207 that is divisible by both numbers.

Least Common Multiple (LCM) of 901 and 907 is 817207.

LCM(901,907) = 817207

LCM of 901 and 907

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

LCM of:
and

Least Common Multiple of 901 and 907

LCM of 901 and 907 is 817207

Least common multiple can be found by multiplying the highest exponent prime factors of 901 and 907. First we will calculate the prime factors of 901 and 907.

Prime Factorization of 901


17 901
53 53
1

Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:

901 = 171×531

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 901 and 907.

LCM(901,907) = 171×531×9071
LCM(901,907) = 817207

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Factors of 907

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

1, 907

Least Common Multiple of 901 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 901 and 907, than apply into the LCM equation.

GCF(901,907) = 1
LCM(901,907) = ( 901 × 907) / 1
LCM(901,907) = 817207 / 1
LCM(901,907) = 817207

Properties of LCM 901 and 907

(i) The LCM of 907 and 901 is associative

LCM of 901 and 907 = LCM of 907 and 901

Related Least Common Multiples of 901

Related Least Common Multiples of 907

Frequently Asked Questions on LCM of 901 and 907

1. What is the LCM of 901 and 907?

Answer: LCM of 901 and 907 is 817207.

2. What are the Factors of 901?

Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.

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 901 and 907?

Answer:

Least Common Multiple of 901 and 907 = 817207

Step 1: Find the prime factorization of 901

901 = 17 x 53

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 = 817207 = 17 x 53 x 907

Step 4: Therefore, the least common multiple of 901 and 907 is 817207.