Least Common Multiple of 6025 and 6028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6025 and 6028 the smallest integer that is 36318700 that is divisible by both numbers.

Least Common Multiple (LCM) of 6025 and 6028 is 36318700.

LCM(6025,6028) = 36318700

LCM of 6025 and 6028

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

LCM of:
and

Least Common Multiple of 6025 and 6028

LCM of 6025 and 6028 is 36318700

Least common multiple can be found by multiplying the highest exponent prime factors of 6025 and 6028. First we will calculate the prime factors of 6025 and 6028.

Prime Factorization of 6025


5 6025
5 1205
241 241
1

Prime factors of 6025 are 5,241. Prime factorization of 6025 in exponential form is:

6025 = 52×2411

Prime Factorization of 6028


2 6028
2 3014
11 1507
137 137
1

Prime factors of 6028 are 2, 11,137. Prime factorization of 6028 in exponential form is:

6028 = 22×111×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6025 and 6028.

LCM(6025,6028) = 22×52×111×1371×2411
LCM(6025,6028) = 36318700

Factors of 6025

List of positive integer factors of 6025 that divides 6025 without a remainder.

1, 5, 25, 241, 1205, 6025

Factors of 6028

List of positive integer factors of 6028 that divides 6028 without a remainder.

1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028

Least Common Multiple of 6025 and 6028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6025 and 6028, than apply into the LCM equation.

GCF(6025,6028) = 1
LCM(6025,6028) = ( 6025 × 6028) / 1
LCM(6025,6028) = 36318700 / 1
LCM(6025,6028) = 36318700

Properties of LCM 6025 and 6028

(i) The LCM of 6028 and 6025 is associative

LCM of 6025 and 6028 = LCM of 6028 and 6025

Related Least Common Multiples of 6025

Related Least Common Multiples of 6028

Frequently Asked Questions on LCM of 6025 and 6028

1. What is the LCM of 6025 and 6028?

Answer: LCM of 6025 and 6028 is 36318700.

2. What are the Factors of 6025?

Answer: Factors of 6025 are 1, 5, 25, 241, 1205, 6025. There are 6 integers that are factors of 6025. The greatest factor of 6025 is 6025.

3. What are the Factors of 6028?

Answer: Factors of 6028 are 1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028. There are 12 integers that are factors of 6028. The greatest factor of 6028 is 6028.

4. How to Find the LCM of 6025 and 6028?

Answer:

Least Common Multiple of 6025 and 6028 = 36318700

Step 1: Find the prime factorization of 6025

6025 = 5 x 5 x 241

Step 2: Find the prime factorization of 6028

6028 = 2 x 2 x 11 x 137

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

LCM = 36318700 = 2 x 2 x 5 x 5 x 11 x 137 x 241

Step 4: Therefore, the least common multiple of 6025 and 6028 is 36318700.