Least Common Multiple of 3245 and 3252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3245 and 3252 the smallest integer that is 10552740 that is divisible by both numbers.

Least Common Multiple (LCM) of 3245 and 3252 is 10552740.

LCM(3245,3252) = 10552740

LCM of 3245 and 3252

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

LCM of:
and

Least Common Multiple of 3245 and 3252

LCM of 3245 and 3252 is 10552740

Least common multiple can be found by multiplying the highest exponent prime factors of 3245 and 3252. First we will calculate the prime factors of 3245 and 3252.

Prime Factorization of 3245


5 3245
11 649
59 59
1

Prime factors of 3245 are 5, 11,59. Prime factorization of 3245 in exponential form is:

3245 = 51×111×591

Prime Factorization of 3252


2 3252
2 1626
3 813
271 271
1

Prime factors of 3252 are 2, 3,271. Prime factorization of 3252 in exponential form is:

3252 = 22×31×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 3245 and 3252.

LCM(3245,3252) = 22×31×51×111×591×2711
LCM(3245,3252) = 10552740

Factors of 3245

List of positive integer factors of 3245 that divides 3245 without a remainder.

1, 5, 11, 55, 59, 295, 649, 3245

Factors of 3252

List of positive integer factors of 3252 that divides 3252 without a remainder.

1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252

Least Common Multiple of 3245 and 3252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3245 and 3252, than apply into the LCM equation.

GCF(3245,3252) = 1
LCM(3245,3252) = ( 3245 × 3252) / 1
LCM(3245,3252) = 10552740 / 1
LCM(3245,3252) = 10552740

Properties of LCM 3245 and 3252

(i) The LCM of 3252 and 3245 is associative

LCM of 3245 and 3252 = LCM of 3252 and 3245

Related Least Common Multiples of 3245

Related Least Common Multiples of 3252

Frequently Asked Questions on LCM of 3245 and 3252

1. What is the LCM of 3245 and 3252?

Answer: LCM of 3245 and 3252 is 10552740.

2. What are the Factors of 3245?

Answer: Factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245. There are 8 integers that are factors of 3245. The greatest factor of 3245 is 3245.

3. What are the Factors of 3252?

Answer: Factors of 3252 are 1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252. There are 12 integers that are factors of 3252. The greatest factor of 3252 is 3252.

4. How to Find the LCM of 3245 and 3252?

Answer:

Least Common Multiple of 3245 and 3252 = 10552740

Step 1: Find the prime factorization of 3245

3245 = 5 x 11 x 59

Step 2: Find the prime factorization of 3252

3252 = 2 x 2 x 3 x 271

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

LCM = 10552740 = 2 x 2 x 3 x 5 x 11 x 59 x 271

Step 4: Therefore, the least common multiple of 3245 and 3252 is 10552740.