Least Common Multiple of 3546 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 3546 and 3550 the smallest integer that is 6294150 that is divisible by both numbers.

Least Common Multiple (LCM) of 3546 and 3550 is 6294150.

LCM(3546,3550) = 6294150

LCM of 3546 and 3550

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

LCM of:
and

Least Common Multiple of 3546 and 3550

LCM of 3546 and 3550 is 6294150

Least common multiple can be found by multiplying the highest exponent prime factors of 3546 and 3550. First we will calculate the prime factors of 3546 and 3550.

Prime Factorization of 3546


2 3546
3 1773
3 591
197 197
1

Prime factors of 3546 are 2, 3,197. Prime factorization of 3546 in exponential form is:

3546 = 21×32×1971

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 3546 and 3550.

LCM(3546,3550) = 21×32×52×711×1971
LCM(3546,3550) = 6294150

Factors of 3546

List of positive integer factors of 3546 that divides 3546 without a remainder.

1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546

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 3546 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 3546 and 3550, than apply into the LCM equation.

GCF(3546,3550) = 2
LCM(3546,3550) = ( 3546 × 3550) / 2
LCM(3546,3550) = 12588300 / 2
LCM(3546,3550) = 6294150

Properties of LCM 3546 and 3550

(i) The LCM of 3550 and 3546 is associative

LCM of 3546 and 3550 = LCM of 3550 and 3546

Related Least Common Multiples of 3546

Related Least Common Multiples of 3550

Frequently Asked Questions on LCM of 3546 and 3550

1. What is the LCM of 3546 and 3550?

Answer: LCM of 3546 and 3550 is 6294150.

2. What are the Factors of 3546?

Answer: Factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546. There are 12 integers that are factors of 3546. The greatest factor of 3546 is 3546.

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 3546 and 3550?

Answer:

Least Common Multiple of 3546 and 3550 = 6294150

Step 1: Find the prime factorization of 3546

3546 = 2 x 3 x 3 x 197

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 = 6294150 = 2 x 3 x 3 x 5 x 5 x 71 x 197

Step 4: Therefore, the least common multiple of 3546 and 3550 is 6294150.