Least Common Multiple of 8998 and 9004

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 9004 the smallest integer that is 40508996 that is divisible by both numbers.

Least Common Multiple (LCM) of 8998 and 9004 is 40508996.

LCM(8998,9004) = 40508996

LCM of 8998 and 9004

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

LCM of:
and

Least Common Multiple of 8998 and 9004

LCM of 8998 and 9004 is 40508996

Least common multiple can be found by multiplying the highest exponent prime factors of 8998 and 9004. First we will calculate the prime factors of 8998 and 9004.

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 9004


2 9004
2 4502
2251 2251
1

Prime factors of 9004 are 2,2251. Prime factorization of 9004 in exponential form is:

9004 = 22×22511

Now multiplying the highest exponent prime factors to calculate the LCM of 8998 and 9004.

LCM(8998,9004) = 22×111×4091×22511
LCM(8998,9004) = 40508996

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 9004

List of positive integer factors of 9004 that divides 9004 without a remainder.

1, 2, 4, 2251, 4502, 9004

Least Common Multiple of 8998 and 9004 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 9004, than apply into the LCM equation.

GCF(8998,9004) = 2
LCM(8998,9004) = ( 8998 × 9004) / 2
LCM(8998,9004) = 81017992 / 2
LCM(8998,9004) = 40508996

Properties of LCM 8998 and 9004

(i) The LCM of 9004 and 8998 is associative

LCM of 8998 and 9004 = LCM of 9004 and 8998

Related Least Common Multiples of 8998

Related Least Common Multiples of 9004

Frequently Asked Questions on LCM of 8998 and 9004

1. What is the LCM of 8998 and 9004?

Answer: LCM of 8998 and 9004 is 40508996.

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 9004?

Answer: Factors of 9004 are 1, 2, 4, 2251, 4502, 9004. There are 6 integers that are factors of 9004. The greatest factor of 9004 is 9004.

4. How to Find the LCM of 8998 and 9004?

Answer:

Least Common Multiple of 8998 and 9004 = 40508996

Step 1: Find the prime factorization of 8998

8998 = 2 x 11 x 409

Step 2: Find the prime factorization of 9004

9004 = 2 x 2 x 2251

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

LCM = 40508996 = 2 x 2 x 11 x 409 x 2251

Step 4: Therefore, the least common multiple of 8998 and 9004 is 40508996.