Least Common Multiple of 3450 and 3458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3450 and 3458 the smallest integer that is 5965050 that is divisible by both numbers.

Least Common Multiple (LCM) of 3450 and 3458 is 5965050.

LCM(3450,3458) = 5965050

LCM of 3450 and 3458

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

LCM of:
and

Least Common Multiple of 3450 and 3458

LCM of 3450 and 3458 is 5965050

Least common multiple can be found by multiplying the highest exponent prime factors of 3450 and 3458. First we will calculate the prime factors of 3450 and 3458.

Prime Factorization of 3450


2 3450
3 1725
5 575
5 115
23 23
1

Prime factors of 3450 are 2, 3, 5,23. Prime factorization of 3450 in exponential form is:

3450 = 21×31×52×231

Prime Factorization of 3458


2 3458
7 1729
13 247
19 19
1

Prime factors of 3458 are 2, 7, 13,19. Prime factorization of 3458 in exponential form is:

3458 = 21×71×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3450 and 3458.

LCM(3450,3458) = 21×31×52×71×131×191×231
LCM(3450,3458) = 5965050

Factors of 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450

Factors of 3458

List of positive integer factors of 3458 that divides 3458 without a remainder.

1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458

Least Common Multiple of 3450 and 3458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3450 and 3458, than apply into the LCM equation.

GCF(3450,3458) = 2
LCM(3450,3458) = ( 3450 × 3458) / 2
LCM(3450,3458) = 11930100 / 2
LCM(3450,3458) = 5965050

Properties of LCM 3450 and 3458

(i) The LCM of 3458 and 3450 is associative

LCM of 3450 and 3458 = LCM of 3458 and 3450

Related Least Common Multiples of 3450

Related Least Common Multiples of 3458

Frequently Asked Questions on LCM of 3450 and 3458

1. What is the LCM of 3450 and 3458?

Answer: LCM of 3450 and 3458 is 5965050.

2. What are the Factors of 3450?

Answer: Factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450. There are 24 integers that are factors of 3450. The greatest factor of 3450 is 3450.

3. What are the Factors of 3458?

Answer: Factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458. There are 16 integers that are factors of 3458. The greatest factor of 3458 is 3458.

4. How to Find the LCM of 3450 and 3458?

Answer:

Least Common Multiple of 3450 and 3458 = 5965050

Step 1: Find the prime factorization of 3450

3450 = 2 x 3 x 5 x 5 x 23

Step 2: Find the prime factorization of 3458

3458 = 2 x 7 x 13 x 19

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

LCM = 5965050 = 2 x 3 x 5 x 5 x 7 x 13 x 19 x 23

Step 4: Therefore, the least common multiple of 3450 and 3458 is 5965050.