Least Common Multiple of 10035 and 10040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10035 and 10040 the smallest integer that is 20150280 that is divisible by both numbers.

Least Common Multiple (LCM) of 10035 and 10040 is 20150280.

LCM(10035,10040) = 20150280

LCM of 10035 and 10040

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

LCM of:
and

Least Common Multiple of 10035 and 10040

LCM of 10035 and 10040 is 20150280

Least common multiple can be found by multiplying the highest exponent prime factors of 10035 and 10040. First we will calculate the prime factors of 10035 and 10040.

Prime Factorization of 10035


3 10035
3 3345
5 1115
223 223
1

Prime factors of 10035 are 3, 5,223. Prime factorization of 10035 in exponential form is:

10035 = 32×51×2231

Prime Factorization of 10040


2 10040
2 5020
2 2510
5 1255
251 251
1

Prime factors of 10040 are 2, 5,251. Prime factorization of 10040 in exponential form is:

10040 = 23×51×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 10035 and 10040.

LCM(10035,10040) = 23×32×51×2231×2511
LCM(10035,10040) = 20150280

Factors of 10035

List of positive integer factors of 10035 that divides 10035 without a remainder.

1, 3, 5, 9, 15, 45, 223, 669, 1115, 2007, 3345, 10035

Factors of 10040

List of positive integer factors of 10040 that divides 10040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 251, 502, 1004, 1255, 2008, 2510, 5020, 10040

Least Common Multiple of 10035 and 10040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10035 and 10040, than apply into the LCM equation.

GCF(10035,10040) = 5
LCM(10035,10040) = ( 10035 × 10040) / 5
LCM(10035,10040) = 100751400 / 5
LCM(10035,10040) = 20150280

Properties of LCM 10035 and 10040

(i) The LCM of 10040 and 10035 is associative

LCM of 10035 and 10040 = LCM of 10040 and 10035

Related Least Common Multiples of 10035

Related Least Common Multiples of 10040

Frequently Asked Questions on LCM of 10035 and 10040

1. What is the LCM of 10035 and 10040?

Answer: LCM of 10035 and 10040 is 20150280.

2. What are the Factors of 10035?

Answer: Factors of 10035 are 1, 3, 5, 9, 15, 45, 223, 669, 1115, 2007, 3345, 10035. There are 12 integers that are factors of 10035. The greatest factor of 10035 is 10035.

3. What are the Factors of 10040?

Answer: Factors of 10040 are 1, 2, 4, 5, 8, 10, 20, 40, 251, 502, 1004, 1255, 2008, 2510, 5020, 10040. There are 16 integers that are factors of 10040. The greatest factor of 10040 is 10040.

4. How to Find the LCM of 10035 and 10040?

Answer:

Least Common Multiple of 10035 and 10040 = 20150280

Step 1: Find the prime factorization of 10035

10035 = 3 x 3 x 5 x 223

Step 2: Find the prime factorization of 10040

10040 = 2 x 2 x 2 x 5 x 251

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

LCM = 20150280 = 2 x 2 x 2 x 3 x 3 x 5 x 223 x 251

Step 4: Therefore, the least common multiple of 10035 and 10040 is 20150280.