Least Common Multiple of 8998 and 9006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8998 and 9006 the smallest integer that is 40517994 that is divisible by both numbers.

Least Common Multiple (LCM) of 8998 and 9006 is 40517994.

LCM(8998,9006) = 40517994

LCM of 8998 and 9006

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

LCM of:
and

Least Common Multiple of 8998 and 9006

LCM of 8998 and 9006 is 40517994

Least common multiple can be found by multiplying the highest exponent prime factors of 8998 and 9006. First we will calculate the prime factors of 8998 and 9006.

Prime Factorization of 8998


2 8998
11 4499
409 409
1

Prime factors of 8998 are 2, 11,409. Prime factorization of 8998 in exponential form is:

8998 = 21×111×4091

Prime Factorization of 9006


2 9006
3 4503
19 1501
79 79
1

Prime factors of 9006 are 2, 3, 19,79. Prime factorization of 9006 in exponential form is:

9006 = 21×31×191×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8998 and 9006.

LCM(8998,9006) = 21×31×111×191×791×4091
LCM(8998,9006) = 40517994

Factors of 8998

List of positive integer factors of 8998 that divides 8998 without a remainder.

1, 2, 11, 22, 409, 818, 4499, 8998

Factors of 9006

List of positive integer factors of 9006 that divides 9006 without a remainder.

1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006

Least Common Multiple of 8998 and 9006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8998 and 9006, than apply into the LCM equation.

GCF(8998,9006) = 2
LCM(8998,9006) = ( 8998 × 9006) / 2
LCM(8998,9006) = 81035988 / 2
LCM(8998,9006) = 40517994

Properties of LCM 8998 and 9006

(i) The LCM of 9006 and 8998 is associative

LCM of 8998 and 9006 = LCM of 9006 and 8998

Related Least Common Multiples of 8998

Related Least Common Multiples of 9006

Frequently Asked Questions on LCM of 8998 and 9006

1. What is the LCM of 8998 and 9006?

Answer: LCM of 8998 and 9006 is 40517994.

2. What are the Factors of 8998?

Answer: Factors of 8998 are 1, 2, 11, 22, 409, 818, 4499, 8998. There are 8 integers that are factors of 8998. The greatest factor of 8998 is 8998.

3. What are the Factors of 9006?

Answer: Factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006. There are 16 integers that are factors of 9006. The greatest factor of 9006 is 9006.

4. How to Find the LCM of 8998 and 9006?

Answer:

Least Common Multiple of 8998 and 9006 = 40517994

Step 1: Find the prime factorization of 8998

8998 = 2 x 11 x 409

Step 2: Find the prime factorization of 9006

9006 = 2 x 3 x 19 x 79

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

LCM = 40517994 = 2 x 3 x 11 x 19 x 79 x 409

Step 4: Therefore, the least common multiple of 8998 and 9006 is 40517994.