Least Common Multiple of 3308 and 3314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3308 and 3314 the smallest integer that is 5481356 that is divisible by both numbers.

Least Common Multiple (LCM) of 3308 and 3314 is 5481356.

LCM(3308,3314) = 5481356

LCM of 3308 and 3314

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

LCM of:
and

Least Common Multiple of 3308 and 3314

LCM of 3308 and 3314 is 5481356

Least common multiple can be found by multiplying the highest exponent prime factors of 3308 and 3314. First we will calculate the prime factors of 3308 and 3314.

Prime Factorization of 3308


2 3308
2 1654
827 827
1

Prime factors of 3308 are 2,827. Prime factorization of 3308 in exponential form is:

3308 = 22×8271

Prime Factorization of 3314


2 3314
1657 1657
1

Prime factors of 3314 are 2,1657. Prime factorization of 3314 in exponential form is:

3314 = 21×16571

Now multiplying the highest exponent prime factors to calculate the LCM of 3308 and 3314.

LCM(3308,3314) = 22×8271×16571
LCM(3308,3314) = 5481356

Factors of 3308

List of positive integer factors of 3308 that divides 3308 without a remainder.

1, 2, 4, 827, 1654, 3308

Factors of 3314

List of positive integer factors of 3314 that divides 3314 without a remainder.

1, 2, 1657, 3314

Least Common Multiple of 3308 and 3314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3308 and 3314, than apply into the LCM equation.

GCF(3308,3314) = 2
LCM(3308,3314) = ( 3308 × 3314) / 2
LCM(3308,3314) = 10962712 / 2
LCM(3308,3314) = 5481356

Properties of LCM 3308 and 3314

(i) The LCM of 3314 and 3308 is associative

LCM of 3308 and 3314 = LCM of 3314 and 3308

Related Least Common Multiples of 3308

Related Least Common Multiples of 3314

Frequently Asked Questions on LCM of 3308 and 3314

1. What is the LCM of 3308 and 3314?

Answer: LCM of 3308 and 3314 is 5481356.

2. What are the Factors of 3308?

Answer: Factors of 3308 are 1, 2, 4, 827, 1654, 3308. There are 6 integers that are factors of 3308. The greatest factor of 3308 is 3308.

3. What are the Factors of 3314?

Answer: Factors of 3314 are 1, 2, 1657, 3314. There are 4 integers that are factors of 3314. The greatest factor of 3314 is 3314.

4. How to Find the LCM of 3308 and 3314?

Answer:

Least Common Multiple of 3308 and 3314 = 5481356

Step 1: Find the prime factorization of 3308

3308 = 2 x 2 x 827

Step 2: Find the prime factorization of 3314

3314 = 2 x 1657

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

LCM = 5481356 = 2 x 2 x 827 x 1657

Step 4: Therefore, the least common multiple of 3308 and 3314 is 5481356.