Least Common Multiple of 67033 and 67040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67033 and 67040 the smallest integer that is 4493892320 that is divisible by both numbers.

Least Common Multiple (LCM) of 67033 and 67040 is 4493892320.

LCM(67033,67040) = 4493892320

LCM of 67033 and 67040

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

LCM of:
and

Least Common Multiple of 67033 and 67040

LCM of 67033 and 67040 is 4493892320

Least common multiple can be found by multiplying the highest exponent prime factors of 67033 and 67040. First we will calculate the prime factors of 67033 and 67040.

Prime Factorization of 67033


67033 67033
1

Prime factors of 67033 are 67033. Prime factorization of 67033 in exponential form is:

67033 = 670331

Prime Factorization of 67040


2 67040
2 33520
2 16760
2 8380
2 4190
5 2095
419 419
1

Prime factors of 67040 are 2, 5,419. Prime factorization of 67040 in exponential form is:

67040 = 25×51×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 67033 and 67040.

LCM(67033,67040) = 25×51×4191×670331
LCM(67033,67040) = 4493892320

Factors of 67033

List of positive integer factors of 67033 that divides 67033 without a remainder.

1, 67033

Factors of 67040

List of positive integer factors of 67040 that divides 67040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 419, 838, 1676, 2095, 3352, 4190, 6704, 8380, 13408, 16760, 33520, 67040

Least Common Multiple of 67033 and 67040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67033 and 67040, than apply into the LCM equation.

GCF(67033,67040) = 1
LCM(67033,67040) = ( 67033 × 67040) / 1
LCM(67033,67040) = 4493892320 / 1
LCM(67033,67040) = 4493892320

Properties of LCM 67033 and 67040

(i) The LCM of 67040 and 67033 is associative

LCM of 67033 and 67040 = LCM of 67040 and 67033

Related Least Common Multiples of 67033

Related Least Common Multiples of 67040

Frequently Asked Questions on LCM of 67033 and 67040

1. What is the LCM of 67033 and 67040?

Answer: LCM of 67033 and 67040 is 4493892320.

2. What are the Factors of 67033?

Answer: Factors of 67033 are 1, 67033. There are 2 integers that are factors of 67033. The greatest factor of 67033 is 67033.

3. What are the Factors of 67040?

Answer: Factors of 67040 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 419, 838, 1676, 2095, 3352, 4190, 6704, 8380, 13408, 16760, 33520, 67040. There are 24 integers that are factors of 67040. The greatest factor of 67040 is 67040.

4. How to Find the LCM of 67033 and 67040?

Answer:

Least Common Multiple of 67033 and 67040 = 4493892320

Step 1: Find the prime factorization of 67033

67033 = 67033

Step 2: Find the prime factorization of 67040

67040 = 2 x 2 x 2 x 2 x 2 x 5 x 419

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

LCM = 4493892320 = 2 x 2 x 2 x 2 x 2 x 5 x 419 x 67033

Step 4: Therefore, the least common multiple of 67033 and 67040 is 4493892320.