Least Common Multiple of 4242 and 4248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4242 and 4248 the smallest integer that is 3003336 that is divisible by both numbers.

Least Common Multiple (LCM) of 4242 and 4248 is 3003336.

LCM(4242,4248) = 3003336

LCM of 4242 and 4248

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

LCM of:
and

Least Common Multiple of 4242 and 4248

LCM of 4242 and 4248 is 3003336

Least common multiple can be found by multiplying the highest exponent prime factors of 4242 and 4248. First we will calculate the prime factors of 4242 and 4248.

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

Prime Factorization of 4248


2 4248
2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 4248 are 2, 3,59. Prime factorization of 4248 in exponential form is:

4248 = 23×32×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4242 and 4248.

LCM(4242,4248) = 23×32×71×591×1011
LCM(4242,4248) = 3003336

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

Factors of 4248

List of positive integer factors of 4248 that divides 4248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248

Least Common Multiple of 4242 and 4248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4242 and 4248, than apply into the LCM equation.

GCF(4242,4248) = 6
LCM(4242,4248) = ( 4242 × 4248) / 6
LCM(4242,4248) = 18020016 / 6
LCM(4242,4248) = 3003336

Properties of LCM 4242 and 4248

(i) The LCM of 4248 and 4242 is associative

LCM of 4242 and 4248 = LCM of 4248 and 4242

Related Least Common Multiples of 4242

Related Least Common Multiples of 4248

Frequently Asked Questions on LCM of 4242 and 4248

1. What is the LCM of 4242 and 4248?

Answer: LCM of 4242 and 4248 is 3003336.

2. 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.

3. What are the Factors of 4248?

Answer: Factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248. There are 24 integers that are factors of 4248. The greatest factor of 4248 is 4248.

4. How to Find the LCM of 4242 and 4248?

Answer:

Least Common Multiple of 4242 and 4248 = 3003336

Step 1: Find the prime factorization of 4242

4242 = 2 x 3 x 7 x 101

Step 2: Find the prime factorization of 4248

4248 = 2 x 2 x 2 x 3 x 3 x 59

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

LCM = 3003336 = 2 x 2 x 2 x 3 x 3 x 7 x 59 x 101

Step 4: Therefore, the least common multiple of 4242 and 4248 is 3003336.