Least Common Multiple of 42028 and 42032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 42028 and 42032 the smallest integer that is 441630224 that is divisible by both numbers.

Least Common Multiple (LCM) of 42028 and 42032 is 441630224.

LCM(42028,42032) = 441630224

LCM of 42028 and 42032

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

LCM of:
and

Least Common Multiple of 42028 and 42032

LCM of 42028 and 42032 is 441630224

Least common multiple can be found by multiplying the highest exponent prime factors of 42028 and 42032. First we will calculate the prime factors of 42028 and 42032.

Prime Factorization of 42028


2 42028
2 21014
7 10507
19 1501
79 79
1

Prime factors of 42028 are 2, 7, 19,79. Prime factorization of 42028 in exponential form is:

42028 = 22×71×191×791

Prime Factorization of 42032


2 42032
2 21016
2 10508
2 5254
37 2627
71 71
1

Prime factors of 42032 are 2, 37,71. Prime factorization of 42032 in exponential form is:

42032 = 24×371×711

Now multiplying the highest exponent prime factors to calculate the LCM of 42028 and 42032.

LCM(42028,42032) = 24×71×191×371×711×791
LCM(42028,42032) = 441630224

Factors of 42028

List of positive integer factors of 42028 that divides 42028 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 79, 133, 158, 266, 316, 532, 553, 1106, 1501, 2212, 3002, 6004, 10507, 21014, 42028

Factors of 42032

List of positive integer factors of 42032 that divides 42032 without a remainder.

1, 2, 4, 8, 16, 37, 71, 74, 142, 148, 284, 296, 568, 592, 1136, 2627, 5254, 10508, 21016, 42032

Least Common Multiple of 42028 and 42032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42028 and 42032, than apply into the LCM equation.

GCF(42028,42032) = 4
LCM(42028,42032) = ( 42028 × 42032) / 4
LCM(42028,42032) = 1766520896 / 4
LCM(42028,42032) = 441630224

Properties of LCM 42028 and 42032

(i) The LCM of 42032 and 42028 is associative

LCM of 42028 and 42032 = LCM of 42032 and 42028

Related Least Common Multiples of 42028

Related Least Common Multiples of 42032

Frequently Asked Questions on LCM of 42028 and 42032

1. What is the LCM of 42028 and 42032?

Answer: LCM of 42028 and 42032 is 441630224.

2. What are the Factors of 42028?

Answer: Factors of 42028 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 79, 133, 158, 266, 316, 532, 553, 1106, 1501, 2212, 3002, 6004, 10507, 21014, 42028. There are 24 integers that are factors of 42028. The greatest factor of 42028 is 42028.

3. What are the Factors of 42032?

Answer: Factors of 42032 are 1, 2, 4, 8, 16, 37, 71, 74, 142, 148, 284, 296, 568, 592, 1136, 2627, 5254, 10508, 21016, 42032. There are 20 integers that are factors of 42032. The greatest factor of 42032 is 42032.

4. How to Find the LCM of 42028 and 42032?

Answer:

Least Common Multiple of 42028 and 42032 = 441630224

Step 1: Find the prime factorization of 42028

42028 = 2 x 2 x 7 x 19 x 79

Step 2: Find the prime factorization of 42032

42032 = 2 x 2 x 2 x 2 x 37 x 71

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

LCM = 441630224 = 2 x 2 x 2 x 2 x 7 x 19 x 37 x 71 x 79

Step 4: Therefore, the least common multiple of 42028 and 42032 is 441630224.