Least Common Multiple of 3376 and 3379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3376 and 3379 the smallest integer that is 11407504 that is divisible by both numbers.

Least Common Multiple (LCM) of 3376 and 3379 is 11407504.

LCM(3376,3379) = 11407504

LCM of 3376 and 3379

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

LCM of:
and

Least Common Multiple of 3376 and 3379

LCM of 3376 and 3379 is 11407504

Least common multiple can be found by multiplying the highest exponent prime factors of 3376 and 3379. First we will calculate the prime factors of 3376 and 3379.

Prime Factorization of 3376


2 3376
2 1688
2 844
2 422
211 211
1

Prime factors of 3376 are 2,211. Prime factorization of 3376 in exponential form is:

3376 = 24×2111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3376 and 3379.

LCM(3376,3379) = 24×311×1091×2111
LCM(3376,3379) = 11407504

Factors of 3376

List of positive integer factors of 3376 that divides 3376 without a remainder.

1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376

Factors of 3379

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

1, 31, 109, 3379

Least Common Multiple of 3376 and 3379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3376 and 3379, than apply into the LCM equation.

GCF(3376,3379) = 1
LCM(3376,3379) = ( 3376 × 3379) / 1
LCM(3376,3379) = 11407504 / 1
LCM(3376,3379) = 11407504

Properties of LCM 3376 and 3379

(i) The LCM of 3379 and 3376 is associative

LCM of 3376 and 3379 = LCM of 3379 and 3376

Related Least Common Multiples of 3376

Related Least Common Multiples of 3379

Frequently Asked Questions on LCM of 3376 and 3379

1. What is the LCM of 3376 and 3379?

Answer: LCM of 3376 and 3379 is 11407504.

2. What are the Factors of 3376?

Answer: Factors of 3376 are 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376. There are 10 integers that are factors of 3376. The greatest factor of 3376 is 3376.

3. 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.

4. How to Find the LCM of 3376 and 3379?

Answer:

Least Common Multiple of 3376 and 3379 = 11407504

Step 1: Find the prime factorization of 3376

3376 = 2 x 2 x 2 x 2 x 211

Step 2: Find the prime factorization of 3379

3379 = 31 x 109

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

LCM = 11407504 = 2 x 2 x 2 x 2 x 31 x 109 x 211

Step 4: Therefore, the least common multiple of 3376 and 3379 is 11407504.