Least Common Multiple of 6258 and 6262

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 6262 the smallest integer that is 19593798 that is divisible by both numbers.

Least Common Multiple (LCM) of 6258 and 6262 is 19593798.

LCM(6258,6262) = 19593798

LCM of 6258 and 6262

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

LCM of:
and

Least Common Multiple of 6258 and 6262

LCM of 6258 and 6262 is 19593798

Least common multiple can be found by multiplying the highest exponent prime factors of 6258 and 6262. First we will calculate the prime factors of 6258 and 6262.

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 6262


2 6262
31 3131
101 101
1

Prime factors of 6262 are 2, 31,101. Prime factorization of 6262 in exponential form is:

6262 = 21×311×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6258 and 6262.

LCM(6258,6262) = 21×31×71×311×1011×1491
LCM(6258,6262) = 19593798

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 6262

List of positive integer factors of 6262 that divides 6262 without a remainder.

1, 2, 31, 62, 101, 202, 3131, 6262

Least Common Multiple of 6258 and 6262 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 6262, than apply into the LCM equation.

GCF(6258,6262) = 2
LCM(6258,6262) = ( 6258 × 6262) / 2
LCM(6258,6262) = 39187596 / 2
LCM(6258,6262) = 19593798

Properties of LCM 6258 and 6262

(i) The LCM of 6262 and 6258 is associative

LCM of 6258 and 6262 = LCM of 6262 and 6258

Related Least Common Multiples of 6258

Related Least Common Multiples of 6262

Frequently Asked Questions on LCM of 6258 and 6262

1. What is the LCM of 6258 and 6262?

Answer: LCM of 6258 and 6262 is 19593798.

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 6262?

Answer: Factors of 6262 are 1, 2, 31, 62, 101, 202, 3131, 6262. There are 8 integers that are factors of 6262. The greatest factor of 6262 is 6262.

4. How to Find the LCM of 6258 and 6262?

Answer:

Least Common Multiple of 6258 and 6262 = 19593798

Step 1: Find the prime factorization of 6258

6258 = 2 x 3 x 7 x 149

Step 2: Find the prime factorization of 6262

6262 = 2 x 31 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 = 19593798 = 2 x 3 x 7 x 31 x 101 x 149

Step 4: Therefore, the least common multiple of 6258 and 6262 is 19593798.