Least Common Multiple of 6242 and 6246

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 6246 the smallest integer that is 19493766 that is divisible by both numbers.

Least Common Multiple (LCM) of 6242 and 6246 is 19493766.

LCM(6242,6246) = 19493766

LCM of 6242 and 6246

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

LCM of:
and

Least Common Multiple of 6242 and 6246

LCM of 6242 and 6246 is 19493766

Least common multiple can be found by multiplying the highest exponent prime factors of 6242 and 6246. First we will calculate the prime factors of 6242 and 6246.

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 6246


2 6246
3 3123
3 1041
347 347
1

Prime factors of 6246 are 2, 3,347. Prime factorization of 6246 in exponential form is:

6246 = 21×32×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 6242 and 6246.

LCM(6242,6246) = 21×32×3471×31211
LCM(6242,6246) = 19493766

Factors of 6242

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

1, 2, 3121, 6242

Factors of 6246

List of positive integer factors of 6246 that divides 6246 without a remainder.

1, 2, 3, 6, 9, 18, 347, 694, 1041, 2082, 3123, 6246

Least Common Multiple of 6242 and 6246 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 6246, than apply into the LCM equation.

GCF(6242,6246) = 2
LCM(6242,6246) = ( 6242 × 6246) / 2
LCM(6242,6246) = 38987532 / 2
LCM(6242,6246) = 19493766

Properties of LCM 6242 and 6246

(i) The LCM of 6246 and 6242 is associative

LCM of 6242 and 6246 = LCM of 6246 and 6242

Related Least Common Multiples of 6242

Related Least Common Multiples of 6246

Frequently Asked Questions on LCM of 6242 and 6246

1. What is the LCM of 6242 and 6246?

Answer: LCM of 6242 and 6246 is 19493766.

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 6246?

Answer: Factors of 6246 are 1, 2, 3, 6, 9, 18, 347, 694, 1041, 2082, 3123, 6246. There are 12 integers that are factors of 6246. The greatest factor of 6246 is 6246.

4. How to Find the LCM of 6242 and 6246?

Answer:

Least Common Multiple of 6242 and 6246 = 19493766

Step 1: Find the prime factorization of 6242

6242 = 2 x 3121

Step 2: Find the prime factorization of 6246

6246 = 2 x 3 x 3 x 347

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

LCM = 19493766 = 2 x 3 x 3 x 347 x 3121

Step 4: Therefore, the least common multiple of 6242 and 6246 is 19493766.