Least Common Multiple of 3246 and 3251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3246 and 3251 the smallest integer that is 10552746 that is divisible by both numbers.

Least Common Multiple (LCM) of 3246 and 3251 is 10552746.

LCM(3246,3251) = 10552746

LCM of 3246 and 3251

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

LCM of:
and

Least Common Multiple of 3246 and 3251

LCM of 3246 and 3251 is 10552746

Least common multiple can be found by multiplying the highest exponent prime factors of 3246 and 3251. First we will calculate the prime factors of 3246 and 3251.

Prime Factorization of 3246


2 3246
3 1623
541 541
1

Prime factors of 3246 are 2, 3,541. Prime factorization of 3246 in exponential form is:

3246 = 21×31×5411

Prime Factorization of 3251


3251 3251
1

Prime factors of 3251 are 3251. Prime factorization of 3251 in exponential form is:

3251 = 32511

Now multiplying the highest exponent prime factors to calculate the LCM of 3246 and 3251.

LCM(3246,3251) = 21×31×5411×32511
LCM(3246,3251) = 10552746

Factors of 3246

List of positive integer factors of 3246 that divides 3246 without a remainder.

1, 2, 3, 6, 541, 1082, 1623, 3246

Factors of 3251

List of positive integer factors of 3251 that divides 3251 without a remainder.

1, 3251

Least Common Multiple of 3246 and 3251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3246 and 3251, than apply into the LCM equation.

GCF(3246,3251) = 1
LCM(3246,3251) = ( 3246 × 3251) / 1
LCM(3246,3251) = 10552746 / 1
LCM(3246,3251) = 10552746

Properties of LCM 3246 and 3251

(i) The LCM of 3251 and 3246 is associative

LCM of 3246 and 3251 = LCM of 3251 and 3246

Related Least Common Multiples of 3246

Related Least Common Multiples of 3251

Frequently Asked Questions on LCM of 3246 and 3251

1. What is the LCM of 3246 and 3251?

Answer: LCM of 3246 and 3251 is 10552746.

2. What are the Factors of 3246?

Answer: Factors of 3246 are 1, 2, 3, 6, 541, 1082, 1623, 3246. There are 8 integers that are factors of 3246. The greatest factor of 3246 is 3246.

3. What are the Factors of 3251?

Answer: Factors of 3251 are 1, 3251. There are 2 integers that are factors of 3251. The greatest factor of 3251 is 3251.

4. How to Find the LCM of 3246 and 3251?

Answer:

Least Common Multiple of 3246 and 3251 = 10552746

Step 1: Find the prime factorization of 3246

3246 = 2 x 3 x 541

Step 2: Find the prime factorization of 3251

3251 = 3251

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

LCM = 10552746 = 2 x 3 x 541 x 3251

Step 4: Therefore, the least common multiple of 3246 and 3251 is 10552746.