Least Common Multiple of 67036 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 67036 and 67040 the smallest integer that is 1123523360 that is divisible by both numbers.

Least Common Multiple (LCM) of 67036 and 67040 is 1123523360.

LCM(67036,67040) = 1123523360

LCM of 67036 and 67040

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

LCM of:
and

Least Common Multiple of 67036 and 67040

LCM of 67036 and 67040 is 1123523360

Least common multiple can be found by multiplying the highest exponent prime factors of 67036 and 67040. First we will calculate the prime factors of 67036 and 67040.

Prime Factorization of 67036


2 67036
2 33518
16759 16759
1

Prime factors of 67036 are 2,16759. Prime factorization of 67036 in exponential form is:

67036 = 22×167591

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 67036 and 67040.

LCM(67036,67040) = 25×51×4191×167591
LCM(67036,67040) = 1123523360

Factors of 67036

List of positive integer factors of 67036 that divides 67036 without a remainder.

1, 2, 4, 16759, 33518, 67036

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 67036 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 67036 and 67040, than apply into the LCM equation.

GCF(67036,67040) = 4
LCM(67036,67040) = ( 67036 × 67040) / 4
LCM(67036,67040) = 4494093440 / 4
LCM(67036,67040) = 1123523360

Properties of LCM 67036 and 67040

(i) The LCM of 67040 and 67036 is associative

LCM of 67036 and 67040 = LCM of 67040 and 67036

Related Least Common Multiples of 67036

Related Least Common Multiples of 67040

Frequently Asked Questions on LCM of 67036 and 67040

1. What is the LCM of 67036 and 67040?

Answer: LCM of 67036 and 67040 is 1123523360.

2. What are the Factors of 67036?

Answer: Factors of 67036 are 1, 2, 4, 16759, 33518, 67036. There are 6 integers that are factors of 67036. The greatest factor of 67036 is 67036.

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 67036 and 67040?

Answer:

Least Common Multiple of 67036 and 67040 = 1123523360

Step 1: Find the prime factorization of 67036

67036 = 2 x 2 x 16759

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 = 1123523360 = 2 x 2 x 2 x 2 x 2 x 5 x 419 x 16759

Step 4: Therefore, the least common multiple of 67036 and 67040 is 1123523360.