Least Common Multiple of 8003 and 8010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8003 and 8010 the smallest integer that is 64104030 that is divisible by both numbers.

Least Common Multiple (LCM) of 8003 and 8010 is 64104030.

LCM(8003,8010) = 64104030

LCM of 8003 and 8010

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

LCM of:
and

Least Common Multiple of 8003 and 8010

LCM of 8003 and 8010 is 64104030

Least common multiple can be found by multiplying the highest exponent prime factors of 8003 and 8010. First we will calculate the prime factors of 8003 and 8010.

Prime Factorization of 8003


53 8003
151 151
1

Prime factors of 8003 are 53,151. Prime factorization of 8003 in exponential form is:

8003 = 531×1511

Prime Factorization of 8010


2 8010
3 4005
3 1335
5 445
89 89
1

Prime factors of 8010 are 2, 3, 5,89. Prime factorization of 8010 in exponential form is:

8010 = 21×32×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8003 and 8010.

LCM(8003,8010) = 21×32×51×531×891×1511
LCM(8003,8010) = 64104030

Factors of 8003

List of positive integer factors of 8003 that divides 8003 without a remainder.

1, 53, 151, 8003

Factors of 8010

List of positive integer factors of 8010 that divides 8010 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445, 534, 801, 890, 1335, 1602, 2670, 4005, 8010

Least Common Multiple of 8003 and 8010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8003 and 8010, than apply into the LCM equation.

GCF(8003,8010) = 1
LCM(8003,8010) = ( 8003 × 8010) / 1
LCM(8003,8010) = 64104030 / 1
LCM(8003,8010) = 64104030

Properties of LCM 8003 and 8010

(i) The LCM of 8010 and 8003 is associative

LCM of 8003 and 8010 = LCM of 8010 and 8003

Related Least Common Multiples of 8003

Related Least Common Multiples of 8010

Frequently Asked Questions on LCM of 8003 and 8010

1. What is the LCM of 8003 and 8010?

Answer: LCM of 8003 and 8010 is 64104030.

2. What are the Factors of 8003?

Answer: Factors of 8003 are 1, 53, 151, 8003. There are 4 integers that are factors of 8003. The greatest factor of 8003 is 8003.

3. What are the Factors of 8010?

Answer: Factors of 8010 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445, 534, 801, 890, 1335, 1602, 2670, 4005, 8010. There are 24 integers that are factors of 8010. The greatest factor of 8010 is 8010.

4. How to Find the LCM of 8003 and 8010?

Answer:

Least Common Multiple of 8003 and 8010 = 64104030

Step 1: Find the prime factorization of 8003

8003 = 53 x 151

Step 2: Find the prime factorization of 8010

8010 = 2 x 3 x 3 x 5 x 89

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

LCM = 64104030 = 2 x 3 x 3 x 5 x 53 x 89 x 151

Step 4: Therefore, the least common multiple of 8003 and 8010 is 64104030.