Least Common Multiple of 67020 and 67028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67020 and 67028 the smallest integer that is 1123054140 that is divisible by both numbers.

Least Common Multiple (LCM) of 67020 and 67028 is 1123054140.

LCM(67020,67028) = 1123054140

LCM of 67020 and 67028

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

LCM of:
and

Least Common Multiple of 67020 and 67028

LCM of 67020 and 67028 is 1123054140

Least common multiple can be found by multiplying the highest exponent prime factors of 67020 and 67028. First we will calculate the prime factors of 67020 and 67028.

Prime Factorization of 67020


2 67020
2 33510
3 16755
5 5585
1117 1117
1

Prime factors of 67020 are 2, 3, 5,1117. Prime factorization of 67020 in exponential form is:

67020 = 22×31×51×11171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 67020 and 67028.

LCM(67020,67028) = 22×31×51×131×11171×12891
LCM(67020,67028) = 1123054140

Factors of 67020

List of positive integer factors of 67020 that divides 67020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1117, 2234, 3351, 4468, 5585, 6702, 11170, 13404, 16755, 22340, 33510, 67020

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

Least Common Multiple of 67020 and 67028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67020 and 67028, than apply into the LCM equation.

GCF(67020,67028) = 4
LCM(67020,67028) = ( 67020 × 67028) / 4
LCM(67020,67028) = 4492216560 / 4
LCM(67020,67028) = 1123054140

Properties of LCM 67020 and 67028

(i) The LCM of 67028 and 67020 is associative

LCM of 67020 and 67028 = LCM of 67028 and 67020

Related Least Common Multiples of 67020

Related Least Common Multiples of 67028

Frequently Asked Questions on LCM of 67020 and 67028

1. What is the LCM of 67020 and 67028?

Answer: LCM of 67020 and 67028 is 1123054140.

2. What are the Factors of 67020?

Answer: Factors of 67020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1117, 2234, 3351, 4468, 5585, 6702, 11170, 13404, 16755, 22340, 33510, 67020. There are 24 integers that are factors of 67020. The greatest factor of 67020 is 67020.

3. 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.

4. How to Find the LCM of 67020 and 67028?

Answer:

Least Common Multiple of 67020 and 67028 = 1123054140

Step 1: Find the prime factorization of 67020

67020 = 2 x 2 x 3 x 5 x 1117

Step 2: Find the prime factorization of 67028

67028 = 2 x 2 x 13 x 1289

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

LCM = 1123054140 = 2 x 2 x 3 x 5 x 13 x 1117 x 1289

Step 4: Therefore, the least common multiple of 67020 and 67028 is 1123054140.