Least Common Multiple of 4235 and 4242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4235 and 4242 the smallest integer that is 2566410 that is divisible by both numbers.

Least Common Multiple (LCM) of 4235 and 4242 is 2566410.

LCM(4235,4242) = 2566410

LCM of 4235 and 4242

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

LCM of:
and

Least Common Multiple of 4235 and 4242

LCM of 4235 and 4242 is 2566410

Least common multiple can be found by multiplying the highest exponent prime factors of 4235 and 4242. First we will calculate the prime factors of 4235 and 4242.

Prime Factorization of 4235


5 4235
7 847
11 121
11 11
1

Prime factors of 4235 are 5, 7,11. Prime factorization of 4235 in exponential form is:

4235 = 51×71×112

Prime Factorization of 4242


2 4242
3 2121
7 707
101 101
1

Prime factors of 4242 are 2, 3, 7,101. Prime factorization of 4242 in exponential form is:

4242 = 21×31×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4235 and 4242.

LCM(4235,4242) = 21×31×51×71×112×1011
LCM(4235,4242) = 2566410

Factors of 4235

List of positive integer factors of 4235 that divides 4235 without a remainder.

1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235

Factors of 4242

List of positive integer factors of 4242 that divides 4242 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242

Least Common Multiple of 4235 and 4242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4235 and 4242, than apply into the LCM equation.

GCF(4235,4242) = 7
LCM(4235,4242) = ( 4235 × 4242) / 7
LCM(4235,4242) = 17964870 / 7
LCM(4235,4242) = 2566410

Properties of LCM 4235 and 4242

(i) The LCM of 4242 and 4235 is associative

LCM of 4235 and 4242 = LCM of 4242 and 4235

Related Least Common Multiples of 4235

Related Least Common Multiples of 4242

Frequently Asked Questions on LCM of 4235 and 4242

1. What is the LCM of 4235 and 4242?

Answer: LCM of 4235 and 4242 is 2566410.

2. What are the Factors of 4235?

Answer: Factors of 4235 are 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235. There are 12 integers that are factors of 4235. The greatest factor of 4235 is 4235.

3. What are the Factors of 4242?

Answer: Factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242. There are 16 integers that are factors of 4242. The greatest factor of 4242 is 4242.

4. How to Find the LCM of 4235 and 4242?

Answer:

Least Common Multiple of 4235 and 4242 = 2566410

Step 1: Find the prime factorization of 4235

4235 = 5 x 7 x 11 x 11

Step 2: Find the prime factorization of 4242

4242 = 2 x 3 x 7 x 101

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

LCM = 2566410 = 2 x 3 x 5 x 7 x 11 x 11 x 101

Step 4: Therefore, the least common multiple of 4235 and 4242 is 2566410.