Least Common Multiple of 27003 and 27008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27003 and 27008 the smallest integer that is 729297024 that is divisible by both numbers.

Least Common Multiple (LCM) of 27003 and 27008 is 729297024.

LCM(27003,27008) = 729297024

LCM of 27003 and 27008

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

LCM of:
and

Least Common Multiple of 27003 and 27008

LCM of 27003 and 27008 is 729297024

Least common multiple can be found by multiplying the highest exponent prime factors of 27003 and 27008. First we will calculate the prime factors of 27003 and 27008.

Prime Factorization of 27003


3 27003
9001 9001
1

Prime factors of 27003 are 3,9001. Prime factorization of 27003 in exponential form is:

27003 = 31×90011

Prime Factorization of 27008


2 27008
2 13504
2 6752
2 3376
2 1688
2 844
2 422
211 211
1

Prime factors of 27008 are 2,211. Prime factorization of 27008 in exponential form is:

27008 = 27×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 27003 and 27008.

LCM(27003,27008) = 27×31×2111×90011
LCM(27003,27008) = 729297024

Factors of 27003

List of positive integer factors of 27003 that divides 27003 without a remainder.

1, 3, 9001, 27003

Factors of 27008

List of positive integer factors of 27008 that divides 27008 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 211, 422, 844, 1688, 3376, 6752, 13504, 27008

Least Common Multiple of 27003 and 27008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27003 and 27008, than apply into the LCM equation.

GCF(27003,27008) = 1
LCM(27003,27008) = ( 27003 × 27008) / 1
LCM(27003,27008) = 729297024 / 1
LCM(27003,27008) = 729297024

Properties of LCM 27003 and 27008

(i) The LCM of 27008 and 27003 is associative

LCM of 27003 and 27008 = LCM of 27008 and 27003

Related Least Common Multiples of 27003

Related Least Common Multiples of 27008

Frequently Asked Questions on LCM of 27003 and 27008

1. What is the LCM of 27003 and 27008?

Answer: LCM of 27003 and 27008 is 729297024.

2. What are the Factors of 27003?

Answer: Factors of 27003 are 1, 3, 9001, 27003. There are 4 integers that are factors of 27003. The greatest factor of 27003 is 27003.

3. What are the Factors of 27008?

Answer: Factors of 27008 are 1, 2, 4, 8, 16, 32, 64, 128, 211, 422, 844, 1688, 3376, 6752, 13504, 27008. There are 16 integers that are factors of 27008. The greatest factor of 27008 is 27008.

4. How to Find the LCM of 27003 and 27008?

Answer:

Least Common Multiple of 27003 and 27008 = 729297024

Step 1: Find the prime factorization of 27003

27003 = 3 x 9001

Step 2: Find the prime factorization of 27008

27008 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 211

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

LCM = 729297024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 211 x 9001

Step 4: Therefore, the least common multiple of 27003 and 27008 is 729297024.