Least Common Multiple of 9002 and 9008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9002 and 9008 the smallest integer that is 40545008 that is divisible by both numbers.

Least Common Multiple (LCM) of 9002 and 9008 is 40545008.

LCM(9002,9008) = 40545008

LCM of 9002 and 9008

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

LCM of:
and

Least Common Multiple of 9002 and 9008

LCM of 9002 and 9008 is 40545008

Least common multiple can be found by multiplying the highest exponent prime factors of 9002 and 9008. First we will calculate the prime factors of 9002 and 9008.

Prime Factorization of 9002


2 9002
7 4501
643 643
1

Prime factors of 9002 are 2, 7,643. Prime factorization of 9002 in exponential form is:

9002 = 21×71×6431

Prime Factorization of 9008


2 9008
2 4504
2 2252
2 1126
563 563
1

Prime factors of 9008 are 2,563. Prime factorization of 9008 in exponential form is:

9008 = 24×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 9002 and 9008.

LCM(9002,9008) = 24×71×5631×6431
LCM(9002,9008) = 40545008

Factors of 9002

List of positive integer factors of 9002 that divides 9002 without a remainder.

1, 2, 7, 14, 643, 1286, 4501, 9002

Factors of 9008

List of positive integer factors of 9008 that divides 9008 without a remainder.

1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008

Least Common Multiple of 9002 and 9008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9002 and 9008, than apply into the LCM equation.

GCF(9002,9008) = 2
LCM(9002,9008) = ( 9002 × 9008) / 2
LCM(9002,9008) = 81090016 / 2
LCM(9002,9008) = 40545008

Properties of LCM 9002 and 9008

(i) The LCM of 9008 and 9002 is associative

LCM of 9002 and 9008 = LCM of 9008 and 9002

Related Least Common Multiples of 9002

Related Least Common Multiples of 9008

Frequently Asked Questions on LCM of 9002 and 9008

1. What is the LCM of 9002 and 9008?

Answer: LCM of 9002 and 9008 is 40545008.

2. What are the Factors of 9002?

Answer: Factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002. There are 8 integers that are factors of 9002. The greatest factor of 9002 is 9002.

3. What are the Factors of 9008?

Answer: Factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008. There are 10 integers that are factors of 9008. The greatest factor of 9008 is 9008.

4. How to Find the LCM of 9002 and 9008?

Answer:

Least Common Multiple of 9002 and 9008 = 40545008

Step 1: Find the prime factorization of 9002

9002 = 2 x 7 x 643

Step 2: Find the prime factorization of 9008

9008 = 2 x 2 x 2 x 2 x 563

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

LCM = 40545008 = 2 x 2 x 2 x 2 x 7 x 563 x 643

Step 4: Therefore, the least common multiple of 9002 and 9008 is 40545008.