Least Common Multiple of 3438 and 3446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3438 and 3446 the smallest integer that is 5923674 that is divisible by both numbers.

Least Common Multiple (LCM) of 3438 and 3446 is 5923674.

LCM(3438,3446) = 5923674

LCM of 3438 and 3446

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

LCM of:
and

Least Common Multiple of 3438 and 3446

LCM of 3438 and 3446 is 5923674

Least common multiple can be found by multiplying the highest exponent prime factors of 3438 and 3446. First we will calculate the prime factors of 3438 and 3446.

Prime Factorization of 3438


2 3438
3 1719
3 573
191 191
1

Prime factors of 3438 are 2, 3,191. Prime factorization of 3438 in exponential form is:

3438 = 21×32×1911

Prime Factorization of 3446


2 3446
1723 1723
1

Prime factors of 3446 are 2,1723. Prime factorization of 3446 in exponential form is:

3446 = 21×17231

Now multiplying the highest exponent prime factors to calculate the LCM of 3438 and 3446.

LCM(3438,3446) = 21×32×1911×17231
LCM(3438,3446) = 5923674

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438

Factors of 3446

List of positive integer factors of 3446 that divides 3446 without a remainder.

1, 2, 1723, 3446

Least Common Multiple of 3438 and 3446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3438 and 3446, than apply into the LCM equation.

GCF(3438,3446) = 2
LCM(3438,3446) = ( 3438 × 3446) / 2
LCM(3438,3446) = 11847348 / 2
LCM(3438,3446) = 5923674

Properties of LCM 3438 and 3446

(i) The LCM of 3446 and 3438 is associative

LCM of 3438 and 3446 = LCM of 3446 and 3438

Related Least Common Multiples of 3438

Related Least Common Multiples of 3446

Frequently Asked Questions on LCM of 3438 and 3446

1. What is the LCM of 3438 and 3446?

Answer: LCM of 3438 and 3446 is 5923674.

2. What are the Factors of 3438?

Answer: Factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438. There are 12 integers that are factors of 3438. The greatest factor of 3438 is 3438.

3. What are the Factors of 3446?

Answer: Factors of 3446 are 1, 2, 1723, 3446. There are 4 integers that are factors of 3446. The greatest factor of 3446 is 3446.

4. How to Find the LCM of 3438 and 3446?

Answer:

Least Common Multiple of 3438 and 3446 = 5923674

Step 1: Find the prime factorization of 3438

3438 = 2 x 3 x 3 x 191

Step 2: Find the prime factorization of 3446

3446 = 2 x 1723

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

LCM = 5923674 = 2 x 3 x 3 x 191 x 1723

Step 4: Therefore, the least common multiple of 3438 and 3446 is 5923674.