Least Common Multiple of 3379 and 3380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3379 and 3380 the smallest integer that is 11421020 that is divisible by both numbers.

Least Common Multiple (LCM) of 3379 and 3380 is 11421020.

LCM(3379,3380) = 11421020

LCM of 3379 and 3380

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

LCM of:
and

Least Common Multiple of 3379 and 3380

LCM of 3379 and 3380 is 11421020

Least common multiple can be found by multiplying the highest exponent prime factors of 3379 and 3380. First we will calculate the prime factors of 3379 and 3380.

Prime Factorization of 3379


31 3379
109 109
1

Prime factors of 3379 are 31,109. Prime factorization of 3379 in exponential form is:

3379 = 311×1091

Prime Factorization of 3380


2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 3380 are 2, 5,13. Prime factorization of 3380 in exponential form is:

3380 = 22×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 3379 and 3380.

LCM(3379,3380) = 22×51×132×311×1091
LCM(3379,3380) = 11421020

Factors of 3379

List of positive integer factors of 3379 that divides 3379 without a remainder.

1, 31, 109, 3379

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380

Least Common Multiple of 3379 and 3380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3379 and 3380, than apply into the LCM equation.

GCF(3379,3380) = 1
LCM(3379,3380) = ( 3379 × 3380) / 1
LCM(3379,3380) = 11421020 / 1
LCM(3379,3380) = 11421020

Properties of LCM 3379 and 3380

(i) The LCM of 3380 and 3379 is associative

LCM of 3379 and 3380 = LCM of 3380 and 3379

Related Least Common Multiples of 3379

Related Least Common Multiples of 3380

Frequently Asked Questions on LCM of 3379 and 3380

1. What is the LCM of 3379 and 3380?

Answer: LCM of 3379 and 3380 is 11421020.

2. What are the Factors of 3379?

Answer: Factors of 3379 are 1, 31, 109, 3379. There are 4 integers that are factors of 3379. The greatest factor of 3379 is 3379.

3. What are the Factors of 3380?

Answer: Factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380. There are 18 integers that are factors of 3380. The greatest factor of 3380 is 3380.

4. How to Find the LCM of 3379 and 3380?

Answer:

Least Common Multiple of 3379 and 3380 = 11421020

Step 1: Find the prime factorization of 3379

3379 = 31 x 109

Step 2: Find the prime factorization of 3380

3380 = 2 x 2 x 5 x 13 x 13

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

LCM = 11421020 = 2 x 2 x 5 x 13 x 13 x 31 x 109

Step 4: Therefore, the least common multiple of 3379 and 3380 is 11421020.