Least Common Multiple of 3254 and 3258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3254 and 3258 the smallest integer that is 5300766 that is divisible by both numbers.

Least Common Multiple (LCM) of 3254 and 3258 is 5300766.

LCM(3254,3258) = 5300766

LCM of 3254 and 3258

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

LCM of:
and

Least Common Multiple of 3254 and 3258

LCM of 3254 and 3258 is 5300766

Least common multiple can be found by multiplying the highest exponent prime factors of 3254 and 3258. First we will calculate the prime factors of 3254 and 3258.

Prime Factorization of 3254


2 3254
1627 1627
1

Prime factors of 3254 are 2,1627. Prime factorization of 3254 in exponential form is:

3254 = 21×16271

Prime Factorization of 3258


2 3258
3 1629
3 543
181 181
1

Prime factors of 3258 are 2, 3,181. Prime factorization of 3258 in exponential form is:

3258 = 21×32×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3254 and 3258.

LCM(3254,3258) = 21×32×1811×16271
LCM(3254,3258) = 5300766

Factors of 3254

List of positive integer factors of 3254 that divides 3254 without a remainder.

1, 2, 1627, 3254

Factors of 3258

List of positive integer factors of 3258 that divides 3258 without a remainder.

1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258

Least Common Multiple of 3254 and 3258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3254 and 3258, than apply into the LCM equation.

GCF(3254,3258) = 2
LCM(3254,3258) = ( 3254 × 3258) / 2
LCM(3254,3258) = 10601532 / 2
LCM(3254,3258) = 5300766

Properties of LCM 3254 and 3258

(i) The LCM of 3258 and 3254 is associative

LCM of 3254 and 3258 = LCM of 3258 and 3254

Related Least Common Multiples of 3254

Related Least Common Multiples of 3258

Frequently Asked Questions on LCM of 3254 and 3258

1. What is the LCM of 3254 and 3258?

Answer: LCM of 3254 and 3258 is 5300766.

2. What are the Factors of 3254?

Answer: Factors of 3254 are 1, 2, 1627, 3254. There are 4 integers that are factors of 3254. The greatest factor of 3254 is 3254.

3. What are the Factors of 3258?

Answer: Factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258. There are 12 integers that are factors of 3258. The greatest factor of 3258 is 3258.

4. How to Find the LCM of 3254 and 3258?

Answer:

Least Common Multiple of 3254 and 3258 = 5300766

Step 1: Find the prime factorization of 3254

3254 = 2 x 1627

Step 2: Find the prime factorization of 3258

3258 = 2 x 3 x 3 x 181

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

LCM = 5300766 = 2 x 3 x 3 x 181 x 1627

Step 4: Therefore, the least common multiple of 3254 and 3258 is 5300766.