Least Common Multiple of 3450 and 3454

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 3454 the smallest integer that is 5958150 that is divisible by both numbers.

Least Common Multiple (LCM) of 3450 and 3454 is 5958150.

LCM(3450,3454) = 5958150

LCM of 3450 and 3454

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

LCM of:
and

Least Common Multiple of 3450 and 3454

LCM of 3450 and 3454 is 5958150

Least common multiple can be found by multiplying the highest exponent prime factors of 3450 and 3454. First we will calculate the prime factors of 3450 and 3454.

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 3454


2 3454
11 1727
157 157
1

Prime factors of 3454 are 2, 11,157. Prime factorization of 3454 in exponential form is:

3454 = 21×111×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3450 and 3454.

LCM(3450,3454) = 21×31×52×111×231×1571
LCM(3450,3454) = 5958150

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 3454

List of positive integer factors of 3454 that divides 3454 without a remainder.

1, 2, 11, 22, 157, 314, 1727, 3454

Least Common Multiple of 3450 and 3454 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 3454, than apply into the LCM equation.

GCF(3450,3454) = 2
LCM(3450,3454) = ( 3450 × 3454) / 2
LCM(3450,3454) = 11916300 / 2
LCM(3450,3454) = 5958150

Properties of LCM 3450 and 3454

(i) The LCM of 3454 and 3450 is associative

LCM of 3450 and 3454 = LCM of 3454 and 3450

Related Least Common Multiples of 3450

Related Least Common Multiples of 3454

Frequently Asked Questions on LCM of 3450 and 3454

1. What is the LCM of 3450 and 3454?

Answer: LCM of 3450 and 3454 is 5958150.

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 3454?

Answer: Factors of 3454 are 1, 2, 11, 22, 157, 314, 1727, 3454. There are 8 integers that are factors of 3454. The greatest factor of 3454 is 3454.

4. How to Find the LCM of 3450 and 3454?

Answer:

Least Common Multiple of 3450 and 3454 = 5958150

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 3454

3454 = 2 x 11 x 157

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

LCM = 5958150 = 2 x 3 x 5 x 5 x 11 x 23 x 157

Step 4: Therefore, the least common multiple of 3450 and 3454 is 5958150.