Least Common Multiple of 6242 and 6248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6242 and 6248 the smallest integer that is 19500008 that is divisible by both numbers.

Least Common Multiple (LCM) of 6242 and 6248 is 19500008.

LCM(6242,6248) = 19500008

LCM of 6242 and 6248

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

LCM of:
and

Least Common Multiple of 6242 and 6248

LCM of 6242 and 6248 is 19500008

Least common multiple can be found by multiplying the highest exponent prime factors of 6242 and 6248. First we will calculate the prime factors of 6242 and 6248.

Prime Factorization of 6242


2 6242
3121 3121
1

Prime factors of 6242 are 2,3121. Prime factorization of 6242 in exponential form is:

6242 = 21×31211

Prime Factorization of 6248


2 6248
2 3124
2 1562
11 781
71 71
1

Prime factors of 6248 are 2, 11,71. Prime factorization of 6248 in exponential form is:

6248 = 23×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6242 and 6248.

LCM(6242,6248) = 23×111×711×31211
LCM(6242,6248) = 19500008

Factors of 6242

List of positive integer factors of 6242 that divides 6242 without a remainder.

1, 2, 3121, 6242

Factors of 6248

List of positive integer factors of 6248 that divides 6248 without a remainder.

1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124, 6248

Least Common Multiple of 6242 and 6248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6242 and 6248, than apply into the LCM equation.

GCF(6242,6248) = 2
LCM(6242,6248) = ( 6242 × 6248) / 2
LCM(6242,6248) = 39000016 / 2
LCM(6242,6248) = 19500008

Properties of LCM 6242 and 6248

(i) The LCM of 6248 and 6242 is associative

LCM of 6242 and 6248 = LCM of 6248 and 6242

Related Least Common Multiples of 6242

Related Least Common Multiples of 6248

Frequently Asked Questions on LCM of 6242 and 6248

1. What is the LCM of 6242 and 6248?

Answer: LCM of 6242 and 6248 is 19500008.

2. What are the Factors of 6242?

Answer: Factors of 6242 are 1, 2, 3121, 6242. There are 4 integers that are factors of 6242. The greatest factor of 6242 is 6242.

3. What are the Factors of 6248?

Answer: Factors of 6248 are 1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124, 6248. There are 16 integers that are factors of 6248. The greatest factor of 6248 is 6248.

4. How to Find the LCM of 6242 and 6248?

Answer:

Least Common Multiple of 6242 and 6248 = 19500008

Step 1: Find the prime factorization of 6242

6242 = 2 x 3121

Step 2: Find the prime factorization of 6248

6248 = 2 x 2 x 2 x 11 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 = 19500008 = 2 x 2 x 2 x 11 x 71 x 3121

Step 4: Therefore, the least common multiple of 6242 and 6248 is 19500008.