Least Common Multiple of 3302 and 3305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3302 and 3305 the smallest integer that is 10913110 that is divisible by both numbers.

Least Common Multiple (LCM) of 3302 and 3305 is 10913110.

LCM(3302,3305) = 10913110

LCM of 3302 and 3305

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

LCM of:
and

Least Common Multiple of 3302 and 3305

LCM of 3302 and 3305 is 10913110

Least common multiple can be found by multiplying the highest exponent prime factors of 3302 and 3305. First we will calculate the prime factors of 3302 and 3305.

Prime Factorization of 3302


2 3302
13 1651
127 127
1

Prime factors of 3302 are 2, 13,127. Prime factorization of 3302 in exponential form is:

3302 = 21×131×1271

Prime Factorization of 3305


5 3305
661 661
1

Prime factors of 3305 are 5,661. Prime factorization of 3305 in exponential form is:

3305 = 51×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 3302 and 3305.

LCM(3302,3305) = 21×51×131×1271×6611
LCM(3302,3305) = 10913110

Factors of 3302

List of positive integer factors of 3302 that divides 3302 without a remainder.

1, 2, 13, 26, 127, 254, 1651, 3302

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1, 5, 661, 3305

Least Common Multiple of 3302 and 3305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3302 and 3305, than apply into the LCM equation.

GCF(3302,3305) = 1
LCM(3302,3305) = ( 3302 × 3305) / 1
LCM(3302,3305) = 10913110 / 1
LCM(3302,3305) = 10913110

Properties of LCM 3302 and 3305

(i) The LCM of 3305 and 3302 is associative

LCM of 3302 and 3305 = LCM of 3305 and 3302

Related Least Common Multiples of 3302

Related Least Common Multiples of 3305

Frequently Asked Questions on LCM of 3302 and 3305

1. What is the LCM of 3302 and 3305?

Answer: LCM of 3302 and 3305 is 10913110.

2. What are the Factors of 3302?

Answer: Factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302. There are 8 integers that are factors of 3302. The greatest factor of 3302 is 3302.

3. What are the Factors of 3305?

Answer: Factors of 3305 are 1, 5, 661, 3305. There are 4 integers that are factors of 3305. The greatest factor of 3305 is 3305.

4. How to Find the LCM of 3302 and 3305?

Answer:

Least Common Multiple of 3302 and 3305 = 10913110

Step 1: Find the prime factorization of 3302

3302 = 2 x 13 x 127

Step 2: Find the prime factorization of 3305

3305 = 5 x 661

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

LCM = 10913110 = 2 x 5 x 13 x 127 x 661

Step 4: Therefore, the least common multiple of 3302 and 3305 is 10913110.