Least Common Multiple of 67034 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 67034 and 67040 the smallest integer that is 2246979680 that is divisible by both numbers.

Least Common Multiple (LCM) of 67034 and 67040 is 2246979680.

LCM(67034,67040) = 2246979680

LCM of 67034 and 67040

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

LCM of:
and

Least Common Multiple of 67034 and 67040

LCM of 67034 and 67040 is 2246979680

Least common multiple can be found by multiplying the highest exponent prime factors of 67034 and 67040. First we will calculate the prime factors of 67034 and 67040.

Prime Factorization of 67034


2 67034
11 33517
11 3047
277 277
1

Prime factors of 67034 are 2, 11,277. Prime factorization of 67034 in exponential form is:

67034 = 21×112×2771

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 67034 and 67040.

LCM(67034,67040) = 25×51×112×2771×4191
LCM(67034,67040) = 2246979680

Factors of 67034

List of positive integer factors of 67034 that divides 67034 without a remainder.

1, 2, 11, 22, 121, 242, 277, 554, 3047, 6094, 33517, 67034

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 67034 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 67034 and 67040, than apply into the LCM equation.

GCF(67034,67040) = 2
LCM(67034,67040) = ( 67034 × 67040) / 2
LCM(67034,67040) = 4493959360 / 2
LCM(67034,67040) = 2246979680

Properties of LCM 67034 and 67040

(i) The LCM of 67040 and 67034 is associative

LCM of 67034 and 67040 = LCM of 67040 and 67034

Related Least Common Multiples of 67034

Related Least Common Multiples of 67040

Frequently Asked Questions on LCM of 67034 and 67040

1. What is the LCM of 67034 and 67040?

Answer: LCM of 67034 and 67040 is 2246979680.

2. What are the Factors of 67034?

Answer: Factors of 67034 are 1, 2, 11, 22, 121, 242, 277, 554, 3047, 6094, 33517, 67034. There are 12 integers that are factors of 67034. The greatest factor of 67034 is 67034.

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 67034 and 67040?

Answer:

Least Common Multiple of 67034 and 67040 = 2246979680

Step 1: Find the prime factorization of 67034

67034 = 2 x 11 x 11 x 277

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 = 2246979680 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 11 x 277 x 419

Step 4: Therefore, the least common multiple of 67034 and 67040 is 2246979680.