Least Common Multiple of 8904 and 8907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8904 and 8907 the smallest integer that is 26435976 that is divisible by both numbers.

Least Common Multiple (LCM) of 8904 and 8907 is 26435976.

LCM(8904,8907) = 26435976

LCM of 8904 and 8907

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

LCM of:
and

Least Common Multiple of 8904 and 8907

LCM of 8904 and 8907 is 26435976

Least common multiple can be found by multiplying the highest exponent prime factors of 8904 and 8907. First we will calculate the prime factors of 8904 and 8907.

Prime Factorization of 8904


2 8904
2 4452
2 2226
3 1113
7 371
53 53
1

Prime factors of 8904 are 2, 3, 7,53. Prime factorization of 8904 in exponential form is:

8904 = 23×31×71×531

Prime Factorization of 8907


3 8907
2969 2969
1

Prime factors of 8907 are 3,2969. Prime factorization of 8907 in exponential form is:

8907 = 31×29691

Now multiplying the highest exponent prime factors to calculate the LCM of 8904 and 8907.

LCM(8904,8907) = 23×31×71×531×29691
LCM(8904,8907) = 26435976

Factors of 8904

List of positive integer factors of 8904 that divides 8904 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904

Factors of 8907

List of positive integer factors of 8907 that divides 8907 without a remainder.

1, 3, 2969, 8907

Least Common Multiple of 8904 and 8907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8904 and 8907, than apply into the LCM equation.

GCF(8904,8907) = 3
LCM(8904,8907) = ( 8904 × 8907) / 3
LCM(8904,8907) = 79307928 / 3
LCM(8904,8907) = 26435976

Properties of LCM 8904 and 8907

(i) The LCM of 8907 and 8904 is associative

LCM of 8904 and 8907 = LCM of 8907 and 8904

Related Least Common Multiples of 8904

Related Least Common Multiples of 8907

Frequently Asked Questions on LCM of 8904 and 8907

1. What is the LCM of 8904 and 8907?

Answer: LCM of 8904 and 8907 is 26435976.

2. What are the Factors of 8904?

Answer: Factors of 8904 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904. There are 32 integers that are factors of 8904. The greatest factor of 8904 is 8904.

3. What are the Factors of 8907?

Answer: Factors of 8907 are 1, 3, 2969, 8907. There are 4 integers that are factors of 8907. The greatest factor of 8907 is 8907.

4. How to Find the LCM of 8904 and 8907?

Answer:

Least Common Multiple of 8904 and 8907 = 26435976

Step 1: Find the prime factorization of 8904

8904 = 2 x 2 x 2 x 3 x 7 x 53

Step 2: Find the prime factorization of 8907

8907 = 3 x 2969

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

LCM = 26435976 = 2 x 2 x 2 x 3 x 7 x 53 x 2969

Step 4: Therefore, the least common multiple of 8904 and 8907 is 26435976.