Least Common Multiple of 3374 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 3374 and 3379 the smallest integer that is 11400746 that is divisible by both numbers.

Least Common Multiple (LCM) of 3374 and 3379 is 11400746.

LCM(3374,3379) = 11400746

LCM of 3374 and 3379

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

LCM of:
and

Least Common Multiple of 3374 and 3379

LCM of 3374 and 3379 is 11400746

Least common multiple can be found by multiplying the highest exponent prime factors of 3374 and 3379. First we will calculate the prime factors of 3374 and 3379.

Prime Factorization of 3374


2 3374
7 1687
241 241
1

Prime factors of 3374 are 2, 7,241. Prime factorization of 3374 in exponential form is:

3374 = 21×71×2411

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 3374 and 3379.

LCM(3374,3379) = 21×71×311×1091×2411
LCM(3374,3379) = 11400746

Factors of 3374

List of positive integer factors of 3374 that divides 3374 without a remainder.

1, 2, 7, 14, 241, 482, 1687, 3374

Factors of 3379

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

1, 31, 109, 3379

Least Common Multiple of 3374 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 3374 and 3379, than apply into the LCM equation.

GCF(3374,3379) = 1
LCM(3374,3379) = ( 3374 × 3379) / 1
LCM(3374,3379) = 11400746 / 1
LCM(3374,3379) = 11400746

Properties of LCM 3374 and 3379

(i) The LCM of 3379 and 3374 is associative

LCM of 3374 and 3379 = LCM of 3379 and 3374

Frequently Asked Questions on LCM of 3374 and 3379

1. What is the LCM of 3374 and 3379?

Answer: LCM of 3374 and 3379 is 11400746.

2. What are the Factors of 3374?

Answer: Factors of 3374 are 1, 2, 7, 14, 241, 482, 1687, 3374. There are 8 integers that are factors of 3374. The greatest factor of 3374 is 3374.

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 3374 and 3379?

Answer:

Least Common Multiple of 3374 and 3379 = 11400746

Step 1: Find the prime factorization of 3374

3374 = 2 x 7 x 241

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 = 11400746 = 2 x 7 x 31 x 109 x 241

Step 4: Therefore, the least common multiple of 3374 and 3379 is 11400746.