Least Common Multiple of 42022 and 42030

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 42030 the smallest integer that is 883092330 that is divisible by both numbers.

Least Common Multiple (LCM) of 42022 and 42030 is 883092330.

LCM(42022,42030) = 883092330

LCM of 42022 and 42030

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

LCM of:
and

Least Common Multiple of 42022 and 42030

LCM of 42022 and 42030 is 883092330

Least common multiple can be found by multiplying the highest exponent prime factors of 42022 and 42030. First we will calculate the prime factors of 42022 and 42030.

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 42030


2 42030
3 21015
3 7005
5 2335
467 467
1

Prime factors of 42030 are 2, 3, 5,467. Prime factorization of 42030 in exponential form is:

42030 = 21×32×51×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 42022 and 42030.

LCM(42022,42030) = 21×32×51×4671×210111
LCM(42022,42030) = 883092330

Factors of 42022

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

1, 2, 21011, 42022

Factors of 42030

List of positive integer factors of 42030 that divides 42030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 467, 934, 1401, 2335, 2802, 4203, 4670, 7005, 8406, 14010, 21015, 42030

Least Common Multiple of 42022 and 42030 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 42030, than apply into the LCM equation.

GCF(42022,42030) = 2
LCM(42022,42030) = ( 42022 × 42030) / 2
LCM(42022,42030) = 1766184660 / 2
LCM(42022,42030) = 883092330

Properties of LCM 42022 and 42030

(i) The LCM of 42030 and 42022 is associative

LCM of 42022 and 42030 = LCM of 42030 and 42022

Related Least Common Multiples of 42022

Related Least Common Multiples of 42030

Frequently Asked Questions on LCM of 42022 and 42030

1. What is the LCM of 42022 and 42030?

Answer: LCM of 42022 and 42030 is 883092330.

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 42030?

Answer: Factors of 42030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 467, 934, 1401, 2335, 2802, 4203, 4670, 7005, 8406, 14010, 21015, 42030. There are 24 integers that are factors of 42030. The greatest factor of 42030 is 42030.

4. How to Find the LCM of 42022 and 42030?

Answer:

Least Common Multiple of 42022 and 42030 = 883092330

Step 1: Find the prime factorization of 42022

42022 = 2 x 21011

Step 2: Find the prime factorization of 42030

42030 = 2 x 3 x 3 x 5 x 467

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

LCM = 883092330 = 2 x 3 x 3 x 5 x 467 x 21011

Step 4: Therefore, the least common multiple of 42022 and 42030 is 883092330.