Least Common Multiple of 33152 and 33156

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 33156 the smallest integer that is 274796928 that is divisible by both numbers.

Least Common Multiple (LCM) of 33152 and 33156 is 274796928.

LCM(33152,33156) = 274796928

LCM of 33152 and 33156

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

LCM of:
and

Least Common Multiple of 33152 and 33156

LCM of 33152 and 33156 is 274796928

Least common multiple can be found by multiplying the highest exponent prime factors of 33152 and 33156. First we will calculate the prime factors of 33152 and 33156.

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 33156


2 33156
2 16578
3 8289
3 2763
3 921
307 307
1

Prime factors of 33156 are 2, 3,307. Prime factorization of 33156 in exponential form is:

33156 = 22×33×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 33152 and 33156.

LCM(33152,33156) = 27×33×71×371×3071
LCM(33152,33156) = 274796928

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 33156

List of positive integer factors of 33156 that divides 33156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 8289, 11052, 16578, 33156

Least Common Multiple of 33152 and 33156 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 33156, than apply into the LCM equation.

GCF(33152,33156) = 4
LCM(33152,33156) = ( 33152 × 33156) / 4
LCM(33152,33156) = 1099187712 / 4
LCM(33152,33156) = 274796928

Properties of LCM 33152 and 33156

(i) The LCM of 33156 and 33152 is associative

LCM of 33152 and 33156 = LCM of 33156 and 33152

Related Least Common Multiples of 33152

Related Least Common Multiples of 33156

Frequently Asked Questions on LCM of 33152 and 33156

1. What is the LCM of 33152 and 33156?

Answer: LCM of 33152 and 33156 is 274796928.

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 33156?

Answer: Factors of 33156 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 8289, 11052, 16578, 33156. There are 24 integers that are factors of 33156. The greatest factor of 33156 is 33156.

4. How to Find the LCM of 33152 and 33156?

Answer:

Least Common Multiple of 33152 and 33156 = 274796928

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 33156

33156 = 2 x 2 x 3 x 3 x 3 x 307

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

LCM = 274796928 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 37 x 307

Step 4: Therefore, the least common multiple of 33152 and 33156 is 274796928.