Least Common Multiple of 33150 and 33154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33150 and 33154 the smallest integer that is 549527550 that is divisible by both numbers.

Least Common Multiple (LCM) of 33150 and 33154 is 549527550.

LCM(33150,33154) = 549527550

LCM of 33150 and 33154

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

LCM of:
and

Least Common Multiple of 33150 and 33154

LCM of 33150 and 33154 is 549527550

Least common multiple can be found by multiplying the highest exponent prime factors of 33150 and 33154. First we will calculate the prime factors of 33150 and 33154.

Prime Factorization of 33150


2 33150
3 16575
5 5525
5 1105
13 221
17 17
1

Prime factors of 33150 are 2, 3, 5, 13,17. Prime factorization of 33150 in exponential form is:

33150 = 21×31×52×131×171

Prime Factorization of 33154


2 33154
11 16577
11 1507
137 137
1

Prime factors of 33154 are 2, 11,137. Prime factorization of 33154 in exponential form is:

33154 = 21×112×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 33150 and 33154.

LCM(33150,33154) = 21×31×52×112×131×171×1371
LCM(33150,33154) = 549527550

Factors of 33150

List of positive integer factors of 33150 that divides 33150 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 17, 25, 26, 30, 34, 39, 50, 51, 65, 75, 78, 85, 102, 130, 150, 170, 195, 221, 255, 325, 390, 425, 442, 510, 650, 663, 850, 975, 1105, 1275, 1326, 1950, 2210, 2550, 3315, 5525, 6630, 11050, 16575, 33150

Factors of 33154

List of positive integer factors of 33154 that divides 33154 without a remainder.

1, 2, 11, 22, 121, 137, 242, 274, 1507, 3014, 16577, 33154

Least Common Multiple of 33150 and 33154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33150 and 33154, than apply into the LCM equation.

GCF(33150,33154) = 2
LCM(33150,33154) = ( 33150 × 33154) / 2
LCM(33150,33154) = 1099055100 / 2
LCM(33150,33154) = 549527550

Properties of LCM 33150 and 33154

(i) The LCM of 33154 and 33150 is associative

LCM of 33150 and 33154 = LCM of 33154 and 33150

Related Least Common Multiples of 33150

Related Least Common Multiples of 33154

Frequently Asked Questions on LCM of 33150 and 33154

1. What is the LCM of 33150 and 33154?

Answer: LCM of 33150 and 33154 is 549527550.

2. What are the Factors of 33150?

Answer: Factors of 33150 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 25, 26, 30, 34, 39, 50, 51, 65, 75, 78, 85, 102, 130, 150, 170, 195, 221, 255, 325, 390, 425, 442, 510, 650, 663, 850, 975, 1105, 1275, 1326, 1950, 2210, 2550, 3315, 5525, 6630, 11050, 16575, 33150. There are 48 integers that are factors of 33150. The greatest factor of 33150 is 33150.

3. What are the Factors of 33154?

Answer: Factors of 33154 are 1, 2, 11, 22, 121, 137, 242, 274, 1507, 3014, 16577, 33154. There are 12 integers that are factors of 33154. The greatest factor of 33154 is 33154.

4. How to Find the LCM of 33150 and 33154?

Answer:

Least Common Multiple of 33150 and 33154 = 549527550

Step 1: Find the prime factorization of 33150

33150 = 2 x 3 x 5 x 5 x 13 x 17

Step 2: Find the prime factorization of 33154

33154 = 2 x 11 x 11 x 137

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

LCM = 549527550 = 2 x 3 x 5 x 5 x 11 x 11 x 13 x 17 x 137

Step 4: Therefore, the least common multiple of 33150 and 33154 is 549527550.