Least Common Multiple of 3546 and 3552

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 3552 the smallest integer that is 2099232 that is divisible by both numbers.

Least Common Multiple (LCM) of 3546 and 3552 is 2099232.

LCM(3546,3552) = 2099232

LCM of 3546 and 3552

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

LCM of:
and

Least Common Multiple of 3546 and 3552

LCM of 3546 and 3552 is 2099232

Least common multiple can be found by multiplying the highest exponent prime factors of 3546 and 3552. First we will calculate the prime factors of 3546 and 3552.

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 3552


2 3552
2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 3552 are 2, 3,37. Prime factorization of 3552 in exponential form is:

3552 = 25×31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3546 and 3552.

LCM(3546,3552) = 25×32×371×1971
LCM(3546,3552) = 2099232

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 3552

List of positive integer factors of 3552 that divides 3552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552

Least Common Multiple of 3546 and 3552 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 3552, than apply into the LCM equation.

GCF(3546,3552) = 6
LCM(3546,3552) = ( 3546 × 3552) / 6
LCM(3546,3552) = 12595392 / 6
LCM(3546,3552) = 2099232

Properties of LCM 3546 and 3552

(i) The LCM of 3552 and 3546 is associative

LCM of 3546 and 3552 = LCM of 3552 and 3546

Related Least Common Multiples of 3546

Related Least Common Multiples of 3552

Frequently Asked Questions on LCM of 3546 and 3552

1. What is the LCM of 3546 and 3552?

Answer: LCM of 3546 and 3552 is 2099232.

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 3552?

Answer: Factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552. There are 24 integers that are factors of 3552. The greatest factor of 3552 is 3552.

4. How to Find the LCM of 3546 and 3552?

Answer:

Least Common Multiple of 3546 and 3552 = 2099232

Step 1: Find the prime factorization of 3546

3546 = 2 x 3 x 3 x 197

Step 2: Find the prime factorization of 3552

3552 = 2 x 2 x 2 x 2 x 2 x 3 x 37

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

LCM = 2099232 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 37 x 197

Step 4: Therefore, the least common multiple of 3546 and 3552 is 2099232.