Least Common Multiple of 3229 and 3237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3229 and 3237 the smallest integer that is 10452273 that is divisible by both numbers.

Least Common Multiple (LCM) of 3229 and 3237 is 10452273.

LCM(3229,3237) = 10452273

LCM of 3229 and 3237

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

LCM of:
and

Least Common Multiple of 3229 and 3237

LCM of 3229 and 3237 is 10452273

Least common multiple can be found by multiplying the highest exponent prime factors of 3229 and 3237. First we will calculate the prime factors of 3229 and 3237.

Prime Factorization of 3229


3229 3229
1

Prime factors of 3229 are 3229. Prime factorization of 3229 in exponential form is:

3229 = 32291

Prime Factorization of 3237


3 3237
13 1079
83 83
1

Prime factors of 3237 are 3, 13,83. Prime factorization of 3237 in exponential form is:

3237 = 31×131×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3229 and 3237.

LCM(3229,3237) = 31×131×831×32291
LCM(3229,3237) = 10452273

Factors of 3229

List of positive integer factors of 3229 that divides 3229 without a remainder.

1, 3229

Factors of 3237

List of positive integer factors of 3237 that divides 3237 without a remainder.

1, 3, 13, 39, 83, 249, 1079, 3237

Least Common Multiple of 3229 and 3237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3229 and 3237, than apply into the LCM equation.

GCF(3229,3237) = 1
LCM(3229,3237) = ( 3229 × 3237) / 1
LCM(3229,3237) = 10452273 / 1
LCM(3229,3237) = 10452273

Properties of LCM 3229 and 3237

(i) The LCM of 3237 and 3229 is associative

LCM of 3229 and 3237 = LCM of 3237 and 3229

Related Least Common Multiples of 3229

Related Least Common Multiples of 3237

Frequently Asked Questions on LCM of 3229 and 3237

1. What is the LCM of 3229 and 3237?

Answer: LCM of 3229 and 3237 is 10452273.

2. What are the Factors of 3229?

Answer: Factors of 3229 are 1, 3229. There are 2 integers that are factors of 3229. The greatest factor of 3229 is 3229.

3. What are the Factors of 3237?

Answer: Factors of 3237 are 1, 3, 13, 39, 83, 249, 1079, 3237. There are 8 integers that are factors of 3237. The greatest factor of 3237 is 3237.

4. How to Find the LCM of 3229 and 3237?

Answer:

Least Common Multiple of 3229 and 3237 = 10452273

Step 1: Find the prime factorization of 3229

3229 = 3229

Step 2: Find the prime factorization of 3237

3237 = 3 x 13 x 83

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

LCM = 10452273 = 3 x 13 x 83 x 3229

Step 4: Therefore, the least common multiple of 3229 and 3237 is 10452273.