Least Common Multiple of 6250 and 6258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6250 and 6258 the smallest integer that is 19556250 that is divisible by both numbers.

Least Common Multiple (LCM) of 6250 and 6258 is 19556250.

LCM(6250,6258) = 19556250

LCM of 6250 and 6258

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

LCM of:
and

Least Common Multiple of 6250 and 6258

LCM of 6250 and 6258 is 19556250

Least common multiple can be found by multiplying the highest exponent prime factors of 6250 and 6258. First we will calculate the prime factors of 6250 and 6258.

Prime Factorization of 6250


2 6250
5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 6250 are 2,5. Prime factorization of 6250 in exponential form is:

6250 = 21×55

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6250 and 6258.

LCM(6250,6258) = 21×31×55×71×1491
LCM(6250,6258) = 19556250

Factors of 6250

List of positive integer factors of 6250 that divides 6250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250

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

Least Common Multiple of 6250 and 6258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6250 and 6258, than apply into the LCM equation.

GCF(6250,6258) = 2
LCM(6250,6258) = ( 6250 × 6258) / 2
LCM(6250,6258) = 39112500 / 2
LCM(6250,6258) = 19556250

Properties of LCM 6250 and 6258

(i) The LCM of 6258 and 6250 is associative

LCM of 6250 and 6258 = LCM of 6258 and 6250

Related Least Common Multiples of 6250

Related Least Common Multiples of 6258

Frequently Asked Questions on LCM of 6250 and 6258

1. What is the LCM of 6250 and 6258?

Answer: LCM of 6250 and 6258 is 19556250.

2. What are the Factors of 6250?

Answer: Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250. There are 12 integers that are factors of 6250. The greatest factor of 6250 is 6250.

3. 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.

4. How to Find the LCM of 6250 and 6258?

Answer:

Least Common Multiple of 6250 and 6258 = 19556250

Step 1: Find the prime factorization of 6250

6250 = 2 x 5 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 6258

6258 = 2 x 3 x 7 x 149

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

LCM = 19556250 = 2 x 3 x 5 x 5 x 5 x 5 x 5 x 7 x 149

Step 4: Therefore, the least common multiple of 6250 and 6258 is 19556250.