Least Common Multiple of 3545 and 3550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3545 and 3550 the smallest integer that is 2516950 that is divisible by both numbers.

Least Common Multiple (LCM) of 3545 and 3550 is 2516950.

LCM(3545,3550) = 2516950

LCM of 3545 and 3550

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

LCM of:
and

Least Common Multiple of 3545 and 3550

LCM of 3545 and 3550 is 2516950

Least common multiple can be found by multiplying the highest exponent prime factors of 3545 and 3550. First we will calculate the prime factors of 3545 and 3550.

Prime Factorization of 3545


5 3545
709 709
1

Prime factors of 3545 are 5,709. Prime factorization of 3545 in exponential form is:

3545 = 51×7091

Prime Factorization of 3550


2 3550
5 1775
5 355
71 71
1

Prime factors of 3550 are 2, 5,71. Prime factorization of 3550 in exponential form is:

3550 = 21×52×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3545 and 3550.

LCM(3545,3550) = 21×52×711×7091
LCM(3545,3550) = 2516950

Factors of 3545

List of positive integer factors of 3545 that divides 3545 without a remainder.

1, 5, 709, 3545

Factors of 3550

List of positive integer factors of 3550 that divides 3550 without a remainder.

1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550

Least Common Multiple of 3545 and 3550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3545 and 3550, than apply into the LCM equation.

GCF(3545,3550) = 5
LCM(3545,3550) = ( 3545 × 3550) / 5
LCM(3545,3550) = 12584750 / 5
LCM(3545,3550) = 2516950

Properties of LCM 3545 and 3550

(i) The LCM of 3550 and 3545 is associative

LCM of 3545 and 3550 = LCM of 3550 and 3545

Related Least Common Multiples of 3545

Related Least Common Multiples of 3550

Frequently Asked Questions on LCM of 3545 and 3550

1. What is the LCM of 3545 and 3550?

Answer: LCM of 3545 and 3550 is 2516950.

2. What are the Factors of 3545?

Answer: Factors of 3545 are 1, 5, 709, 3545. There are 4 integers that are factors of 3545. The greatest factor of 3545 is 3545.

3. What are the Factors of 3550?

Answer: Factors of 3550 are 1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550. There are 12 integers that are factors of 3550. The greatest factor of 3550 is 3550.

4. How to Find the LCM of 3545 and 3550?

Answer:

Least Common Multiple of 3545 and 3550 = 2516950

Step 1: Find the prime factorization of 3545

3545 = 5 x 709

Step 2: Find the prime factorization of 3550

3550 = 2 x 5 x 5 x 71

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

LCM = 2516950 = 2 x 5 x 5 x 71 x 709

Step 4: Therefore, the least common multiple of 3545 and 3550 is 2516950.