Least Common Multiple of 6258 and 6263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6258 and 6263 the smallest integer that is 39193854 that is divisible by both numbers.

Least Common Multiple (LCM) of 6258 and 6263 is 39193854.

LCM(6258,6263) = 39193854

LCM of 6258 and 6263

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

LCM of:
and

Least Common Multiple of 6258 and 6263

LCM of 6258 and 6263 is 39193854

Least common multiple can be found by multiplying the highest exponent prime factors of 6258 and 6263. First we will calculate the prime factors of 6258 and 6263.

Prime Factorization of 6258


2 6258
3 3129
7 1043
149 149
1

Prime factors of 6258 are 2, 3, 7,149. Prime factorization of 6258 in exponential form is:

6258 = 21×31×71×1491

Prime Factorization of 6263


6263 6263
1

Prime factors of 6263 are 6263. Prime factorization of 6263 in exponential form is:

6263 = 62631

Now multiplying the highest exponent prime factors to calculate the LCM of 6258 and 6263.

LCM(6258,6263) = 21×31×71×1491×62631
LCM(6258,6263) = 39193854

Factors of 6258

List of positive integer factors of 6258 that divides 6258 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258

Factors of 6263

List of positive integer factors of 6263 that divides 6263 without a remainder.

1, 6263

Least Common Multiple of 6258 and 6263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6258 and 6263, than apply into the LCM equation.

GCF(6258,6263) = 1
LCM(6258,6263) = ( 6258 × 6263) / 1
LCM(6258,6263) = 39193854 / 1
LCM(6258,6263) = 39193854

Properties of LCM 6258 and 6263

(i) The LCM of 6263 and 6258 is associative

LCM of 6258 and 6263 = LCM of 6263 and 6258

Related Least Common Multiples of 6258

Related Least Common Multiples of 6263

Frequently Asked Questions on LCM of 6258 and 6263

1. What is the LCM of 6258 and 6263?

Answer: LCM of 6258 and 6263 is 39193854.

2. What are the Factors of 6258?

Answer: Factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258. There are 16 integers that are factors of 6258. The greatest factor of 6258 is 6258.

3. What are the Factors of 6263?

Answer: Factors of 6263 are 1, 6263. There are 2 integers that are factors of 6263. The greatest factor of 6263 is 6263.

4. How to Find the LCM of 6258 and 6263?

Answer:

Least Common Multiple of 6258 and 6263 = 39193854

Step 1: Find the prime factorization of 6258

6258 = 2 x 3 x 7 x 149

Step 2: Find the prime factorization of 6263

6263 = 6263

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

LCM = 39193854 = 2 x 3 x 7 x 149 x 6263

Step 4: Therefore, the least common multiple of 6258 and 6263 is 39193854.