Least Common Multiple of 42022 and 42026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 42022 and 42026 the smallest integer that is 883008286 that is divisible by both numbers.

Least Common Multiple (LCM) of 42022 and 42026 is 883008286.

LCM(42022,42026) = 883008286

LCM of 42022 and 42026

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

LCM of:
and

Least Common Multiple of 42022 and 42026

LCM of 42022 and 42026 is 883008286

Least common multiple can be found by multiplying the highest exponent prime factors of 42022 and 42026. First we will calculate the prime factors of 42022 and 42026.

Prime Factorization of 42022


2 42022
21011 21011
1

Prime factors of 42022 are 2,21011. Prime factorization of 42022 in exponential form is:

42022 = 21×210111

Prime Factorization of 42026


2 42026
21013 21013
1

Prime factors of 42026 are 2,21013. Prime factorization of 42026 in exponential form is:

42026 = 21×210131

Now multiplying the highest exponent prime factors to calculate the LCM of 42022 and 42026.

LCM(42022,42026) = 21×210111×210131
LCM(42022,42026) = 883008286

Factors of 42022

List of positive integer factors of 42022 that divides 42022 without a remainder.

1, 2, 21011, 42022

Factors of 42026

List of positive integer factors of 42026 that divides 42026 without a remainder.

1, 2, 21013, 42026

Least Common Multiple of 42022 and 42026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42022 and 42026, than apply into the LCM equation.

GCF(42022,42026) = 2
LCM(42022,42026) = ( 42022 × 42026) / 2
LCM(42022,42026) = 1766016572 / 2
LCM(42022,42026) = 883008286

Properties of LCM 42022 and 42026

(i) The LCM of 42026 and 42022 is associative

LCM of 42022 and 42026 = LCM of 42026 and 42022

Related Least Common Multiples of 42022

Related Least Common Multiples of 42026

Frequently Asked Questions on LCM of 42022 and 42026

1. What is the LCM of 42022 and 42026?

Answer: LCM of 42022 and 42026 is 883008286.

2. What are the Factors of 42022?

Answer: Factors of 42022 are 1, 2, 21011, 42022. There are 4 integers that are factors of 42022. The greatest factor of 42022 is 42022.

3. What are the Factors of 42026?

Answer: Factors of 42026 are 1, 2, 21013, 42026. There are 4 integers that are factors of 42026. The greatest factor of 42026 is 42026.

4. How to Find the LCM of 42022 and 42026?

Answer:

Least Common Multiple of 42022 and 42026 = 883008286

Step 1: Find the prime factorization of 42022

42022 = 2 x 21011

Step 2: Find the prime factorization of 42026

42026 = 2 x 21013

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

LCM = 883008286 = 2 x 21011 x 21013

Step 4: Therefore, the least common multiple of 42022 and 42026 is 883008286.