Least Common Multiple of 33152 and 33155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33152 and 33155 the smallest integer that is 1099154560 that is divisible by both numbers.

Least Common Multiple (LCM) of 33152 and 33155 is 1099154560.

LCM(33152,33155) = 1099154560

LCM of 33152 and 33155

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

LCM of:
and

Least Common Multiple of 33152 and 33155

LCM of 33152 and 33155 is 1099154560

Least common multiple can be found by multiplying the highest exponent prime factors of 33152 and 33155. First we will calculate the prime factors of 33152 and 33155.

Prime Factorization of 33152


2 33152
2 16576
2 8288
2 4144
2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 33152 are 2, 7,37. Prime factorization of 33152 in exponential form is:

33152 = 27×71×371

Prime Factorization of 33155


5 33155
19 6631
349 349
1

Prime factors of 33155 are 5, 19,349. Prime factorization of 33155 in exponential form is:

33155 = 51×191×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 33152 and 33155.

LCM(33152,33155) = 27×51×71×191×371×3491
LCM(33152,33155) = 1099154560

Factors of 33152

List of positive integer factors of 33152 that divides 33152 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 64, 74, 112, 128, 148, 224, 259, 296, 448, 518, 592, 896, 1036, 1184, 2072, 2368, 4144, 4736, 8288, 16576, 33152

Factors of 33155

List of positive integer factors of 33155 that divides 33155 without a remainder.

1, 5, 19, 95, 349, 1745, 6631, 33155

Least Common Multiple of 33152 and 33155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33152 and 33155, than apply into the LCM equation.

GCF(33152,33155) = 1
LCM(33152,33155) = ( 33152 × 33155) / 1
LCM(33152,33155) = 1099154560 / 1
LCM(33152,33155) = 1099154560

Properties of LCM 33152 and 33155

(i) The LCM of 33155 and 33152 is associative

LCM of 33152 and 33155 = LCM of 33155 and 33152

Related Least Common Multiples of 33152

Related Least Common Multiples of 33155

Frequently Asked Questions on LCM of 33152 and 33155

1. What is the LCM of 33152 and 33155?

Answer: LCM of 33152 and 33155 is 1099154560.

2. What are the Factors of 33152?

Answer: Factors of 33152 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 64, 74, 112, 128, 148, 224, 259, 296, 448, 518, 592, 896, 1036, 1184, 2072, 2368, 4144, 4736, 8288, 16576, 33152. There are 32 integers that are factors of 33152. The greatest factor of 33152 is 33152.

3. What are the Factors of 33155?

Answer: Factors of 33155 are 1, 5, 19, 95, 349, 1745, 6631, 33155. There are 8 integers that are factors of 33155. The greatest factor of 33155 is 33155.

4. How to Find the LCM of 33152 and 33155?

Answer:

Least Common Multiple of 33152 and 33155 = 1099154560

Step 1: Find the prime factorization of 33152

33152 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 33155

33155 = 5 x 19 x 349

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

LCM = 1099154560 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 19 x 37 x 349

Step 4: Therefore, the least common multiple of 33152 and 33155 is 1099154560.