Math, asked by ramadevi2120, 3 months ago

l.c.m of 2021 and 2022​

Answers

Answered by abhishekyadav2005
3

Answer:

Step-by-step explanation:

Calculate the Least Common Multiple or LCM of 2021 and 2022

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The instructions to find the LCM of 2021 and 2022 are the next:

1. Decompose all numbers into prime factors

2021 43 47 47 1  2022 2 1011 3 337 337 1  

2. Write all numbers as the product of its prime factors

Prime factors of 2021 = 43 . 47

Prime factors of 2022 = 2 . 3 . 337

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: None

Common prime factors with the greatest exponent: None

Uncommon prime factors: 43 , 47 , 2 , 3 , 337

Uncommon prime factors with the greatest exponent: 431, 471, 21, 31, 3371

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 431. 471. 21. 31. 3371 = 4086462

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