Least Common Multiple of 67028 and 67036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67028 and 67036 the smallest integer that is 1123322252 that is divisible by both numbers.

Least Common Multiple (LCM) of 67028 and 67036 is 1123322252.

LCM(67028,67036) = 1123322252

LCM of 67028 and 67036

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

LCM of:
and

Least Common Multiple of 67028 and 67036

LCM of 67028 and 67036 is 1123322252

Least common multiple can be found by multiplying the highest exponent prime factors of 67028 and 67036. First we will calculate the prime factors of 67028 and 67036.

Prime Factorization of 67028


2 67028
2 33514
13 16757
1289 1289
1

Prime factors of 67028 are 2, 13,1289. Prime factorization of 67028 in exponential form is:

67028 = 22×131×12891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 67028 and 67036.

LCM(67028,67036) = 22×131×12891×167591
LCM(67028,67036) = 1123322252

Factors of 67028

List of positive integer factors of 67028 that divides 67028 without a remainder.

1, 2, 4, 13, 26, 52, 1289, 2578, 5156, 16757, 33514, 67028

Factors of 67036

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

1, 2, 4, 16759, 33518, 67036

Least Common Multiple of 67028 and 67036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67028 and 67036, than apply into the LCM equation.

GCF(67028,67036) = 4
LCM(67028,67036) = ( 67028 × 67036) / 4
LCM(67028,67036) = 4493289008 / 4
LCM(67028,67036) = 1123322252

Properties of LCM 67028 and 67036

(i) The LCM of 67036 and 67028 is associative

LCM of 67028 and 67036 = LCM of 67036 and 67028

Related Least Common Multiples of 67028

Related Least Common Multiples of 67036

Frequently Asked Questions on LCM of 67028 and 67036

1. What is the LCM of 67028 and 67036?

Answer: LCM of 67028 and 67036 is 1123322252.

2. What are the Factors of 67028?

Answer: Factors of 67028 are 1, 2, 4, 13, 26, 52, 1289, 2578, 5156, 16757, 33514, 67028. There are 12 integers that are factors of 67028. The greatest factor of 67028 is 67028.

3. 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.

4. How to Find the LCM of 67028 and 67036?

Answer:

Least Common Multiple of 67028 and 67036 = 1123322252

Step 1: Find the prime factorization of 67028

67028 = 2 x 2 x 13 x 1289

Step 2: Find the prime factorization of 67036

67036 = 2 x 2 x 16759

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

LCM = 1123322252 = 2 x 2 x 13 x 1289 x 16759

Step 4: Therefore, the least common multiple of 67028 and 67036 is 1123322252.