Least Common Multiple of 8035 and 8042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8035 and 8042 the smallest integer that is 64617470 that is divisible by both numbers.

Least Common Multiple (LCM) of 8035 and 8042 is 64617470.

LCM(8035,8042) = 64617470

LCM of 8035 and 8042

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

LCM of:
and

Least Common Multiple of 8035 and 8042

LCM of 8035 and 8042 is 64617470

Least common multiple can be found by multiplying the highest exponent prime factors of 8035 and 8042. First we will calculate the prime factors of 8035 and 8042.

Prime Factorization of 8035


5 8035
1607 1607
1

Prime factors of 8035 are 5,1607. Prime factorization of 8035 in exponential form is:

8035 = 51×16071

Prime Factorization of 8042


2 8042
4021 4021
1

Prime factors of 8042 are 2,4021. Prime factorization of 8042 in exponential form is:

8042 = 21×40211

Now multiplying the highest exponent prime factors to calculate the LCM of 8035 and 8042.

LCM(8035,8042) = 21×51×16071×40211
LCM(8035,8042) = 64617470

Factors of 8035

List of positive integer factors of 8035 that divides 8035 without a remainder.

1, 5, 1607, 8035

Factors of 8042

List of positive integer factors of 8042 that divides 8042 without a remainder.

1, 2, 4021, 8042

Least Common Multiple of 8035 and 8042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8035 and 8042, than apply into the LCM equation.

GCF(8035,8042) = 1
LCM(8035,8042) = ( 8035 × 8042) / 1
LCM(8035,8042) = 64617470 / 1
LCM(8035,8042) = 64617470

Properties of LCM 8035 and 8042

(i) The LCM of 8042 and 8035 is associative

LCM of 8035 and 8042 = LCM of 8042 and 8035

Related Least Common Multiples of 8035

Related Least Common Multiples of 8042

Frequently Asked Questions on LCM of 8035 and 8042

1. What is the LCM of 8035 and 8042?

Answer: LCM of 8035 and 8042 is 64617470.

2. What are the Factors of 8035?

Answer: Factors of 8035 are 1, 5, 1607, 8035. There are 4 integers that are factors of 8035. The greatest factor of 8035 is 8035.

3. What are the Factors of 8042?

Answer: Factors of 8042 are 1, 2, 4021, 8042. There are 4 integers that are factors of 8042. The greatest factor of 8042 is 8042.

4. How to Find the LCM of 8035 and 8042?

Answer:

Least Common Multiple of 8035 and 8042 = 64617470

Step 1: Find the prime factorization of 8035

8035 = 5 x 1607

Step 2: Find the prime factorization of 8042

8042 = 2 x 4021

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

LCM = 64617470 = 2 x 5 x 1607 x 4021

Step 4: Therefore, the least common multiple of 8035 and 8042 is 64617470.