Least Common Multiple of 42018 and 42022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 42018 and 42022 the smallest integer that is 882840198 that is divisible by both numbers.

Least Common Multiple (LCM) of 42018 and 42022 is 882840198.

LCM(42018,42022) = 882840198

LCM of 42018 and 42022

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

LCM of:
and

Least Common Multiple of 42018 and 42022

LCM of 42018 and 42022 is 882840198

Least common multiple can be found by multiplying the highest exponent prime factors of 42018 and 42022. First we will calculate the prime factors of 42018 and 42022.

Prime Factorization of 42018


2 42018
3 21009
47 7003
149 149
1

Prime factors of 42018 are 2, 3, 47,149. Prime factorization of 42018 in exponential form is:

42018 = 21×31×471×1491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 42018 and 42022.

LCM(42018,42022) = 21×31×471×1491×210111
LCM(42018,42022) = 882840198

Factors of 42018

List of positive integer factors of 42018 that divides 42018 without a remainder.

1, 2, 3, 6, 47, 94, 141, 149, 282, 298, 447, 894, 7003, 14006, 21009, 42018

Factors of 42022

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

1, 2, 21011, 42022

Least Common Multiple of 42018 and 42022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42018 and 42022, than apply into the LCM equation.

GCF(42018,42022) = 2
LCM(42018,42022) = ( 42018 × 42022) / 2
LCM(42018,42022) = 1765680396 / 2
LCM(42018,42022) = 882840198

Properties of LCM 42018 and 42022

(i) The LCM of 42022 and 42018 is associative

LCM of 42018 and 42022 = LCM of 42022 and 42018

Related Least Common Multiples of 42018

Related Least Common Multiples of 42022

Frequently Asked Questions on LCM of 42018 and 42022

1. What is the LCM of 42018 and 42022?

Answer: LCM of 42018 and 42022 is 882840198.

2. What are the Factors of 42018?

Answer: Factors of 42018 are 1, 2, 3, 6, 47, 94, 141, 149, 282, 298, 447, 894, 7003, 14006, 21009, 42018. There are 16 integers that are factors of 42018. The greatest factor of 42018 is 42018.

3. 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.

4. How to Find the LCM of 42018 and 42022?

Answer:

Least Common Multiple of 42018 and 42022 = 882840198

Step 1: Find the prime factorization of 42018

42018 = 2 x 3 x 47 x 149

Step 2: Find the prime factorization of 42022

42022 = 2 x 21011

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

LCM = 882840198 = 2 x 3 x 47 x 149 x 21011

Step 4: Therefore, the least common multiple of 42018 and 42022 is 882840198.