Least Common Multiple of 42043 and 42046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 42043 and 42046 the smallest integer that is 1767739978 that is divisible by both numbers.

Least Common Multiple (LCM) of 42043 and 42046 is 1767739978.

LCM(42043,42046) = 1767739978

LCM of 42043 and 42046

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

LCM of:
and

Least Common Multiple of 42043 and 42046

LCM of 42043 and 42046 is 1767739978

Least common multiple can be found by multiplying the highest exponent prime factors of 42043 and 42046. First we will calculate the prime factors of 42043 and 42046.

Prime Factorization of 42043


42043 42043
1

Prime factors of 42043 are 42043. Prime factorization of 42043 in exponential form is:

42043 = 420431

Prime Factorization of 42046


2 42046
21023 21023
1

Prime factors of 42046 are 2,21023. Prime factorization of 42046 in exponential form is:

42046 = 21×210231

Now multiplying the highest exponent prime factors to calculate the LCM of 42043 and 42046.

LCM(42043,42046) = 21×210231×420431
LCM(42043,42046) = 1767739978

Factors of 42043

List of positive integer factors of 42043 that divides 42043 without a remainder.

1, 42043

Factors of 42046

List of positive integer factors of 42046 that divides 42046 without a remainder.

1, 2, 21023, 42046

Least Common Multiple of 42043 and 42046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42043 and 42046, than apply into the LCM equation.

GCF(42043,42046) = 1
LCM(42043,42046) = ( 42043 × 42046) / 1
LCM(42043,42046) = 1767739978 / 1
LCM(42043,42046) = 1767739978

Properties of LCM 42043 and 42046

(i) The LCM of 42046 and 42043 is associative

LCM of 42043 and 42046 = LCM of 42046 and 42043

Related Least Common Multiples of 42043

Related Least Common Multiples of 42046

Frequently Asked Questions on LCM of 42043 and 42046

1. What is the LCM of 42043 and 42046?

Answer: LCM of 42043 and 42046 is 1767739978.

2. What are the Factors of 42043?

Answer: Factors of 42043 are 1, 42043. There are 2 integers that are factors of 42043. The greatest factor of 42043 is 42043.

3. What are the Factors of 42046?

Answer: Factors of 42046 are 1, 2, 21023, 42046. There are 4 integers that are factors of 42046. The greatest factor of 42046 is 42046.

4. How to Find the LCM of 42043 and 42046?

Answer:

Least Common Multiple of 42043 and 42046 = 1767739978

Step 1: Find the prime factorization of 42043

42043 = 42043

Step 2: Find the prime factorization of 42046

42046 = 2 x 21023

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

LCM = 1767739978 = 2 x 21023 x 42043

Step 4: Therefore, the least common multiple of 42043 and 42046 is 1767739978.