Least Common Multiple of 33240 and 33245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33240 and 33245 the smallest integer that is 221012760 that is divisible by both numbers.

Least Common Multiple (LCM) of 33240 and 33245 is 221012760.

LCM(33240,33245) = 221012760

LCM of 33240 and 33245

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

LCM of:
and

Least Common Multiple of 33240 and 33245

LCM of 33240 and 33245 is 221012760

Least common multiple can be found by multiplying the highest exponent prime factors of 33240 and 33245. First we will calculate the prime factors of 33240 and 33245.

Prime Factorization of 33240


2 33240
2 16620
2 8310
3 4155
5 1385
277 277
1

Prime factors of 33240 are 2, 3, 5,277. Prime factorization of 33240 in exponential form is:

33240 = 23×31×51×2771

Prime Factorization of 33245


5 33245
61 6649
109 109
1

Prime factors of 33245 are 5, 61,109. Prime factorization of 33245 in exponential form is:

33245 = 51×611×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 33240 and 33245.

LCM(33240,33245) = 23×31×51×611×1091×2771
LCM(33240,33245) = 221012760

Factors of 33240

List of positive integer factors of 33240 that divides 33240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 5540, 6648, 8310, 11080, 16620, 33240

Factors of 33245

List of positive integer factors of 33245 that divides 33245 without a remainder.

1, 5, 61, 109, 305, 545, 6649, 33245

Least Common Multiple of 33240 and 33245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33240 and 33245, than apply into the LCM equation.

GCF(33240,33245) = 5
LCM(33240,33245) = ( 33240 × 33245) / 5
LCM(33240,33245) = 1105063800 / 5
LCM(33240,33245) = 221012760

Properties of LCM 33240 and 33245

(i) The LCM of 33245 and 33240 is associative

LCM of 33240 and 33245 = LCM of 33245 and 33240

Related Least Common Multiples of 33240

Related Least Common Multiples of 33245

Frequently Asked Questions on LCM of 33240 and 33245

1. What is the LCM of 33240 and 33245?

Answer: LCM of 33240 and 33245 is 221012760.

2. What are the Factors of 33240?

Answer: Factors of 33240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 5540, 6648, 8310, 11080, 16620, 33240. There are 32 integers that are factors of 33240. The greatest factor of 33240 is 33240.

3. What are the Factors of 33245?

Answer: Factors of 33245 are 1, 5, 61, 109, 305, 545, 6649, 33245. There are 8 integers that are factors of 33245. The greatest factor of 33245 is 33245.

4. How to Find the LCM of 33240 and 33245?

Answer:

Least Common Multiple of 33240 and 33245 = 221012760

Step 1: Find the prime factorization of 33240

33240 = 2 x 2 x 2 x 3 x 5 x 277

Step 2: Find the prime factorization of 33245

33245 = 5 x 61 x 109

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

LCM = 221012760 = 2 x 2 x 2 x 3 x 5 x 61 x 109 x 277

Step 4: Therefore, the least common multiple of 33240 and 33245 is 221012760.