Least Common Multiple of 3050 and 3055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3050 and 3055 the smallest integer that is 1863550 that is divisible by both numbers.

Least Common Multiple (LCM) of 3050 and 3055 is 1863550.

LCM(3050,3055) = 1863550

LCM of 3050 and 3055

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

LCM of:
and

Least Common Multiple of 3050 and 3055

LCM of 3050 and 3055 is 1863550

Least common multiple can be found by multiplying the highest exponent prime factors of 3050 and 3055. First we will calculate the prime factors of 3050 and 3055.

Prime Factorization of 3050


2 3050
5 1525
5 305
61 61
1

Prime factors of 3050 are 2, 5,61. Prime factorization of 3050 in exponential form is:

3050 = 21×52×611

Prime Factorization of 3055


5 3055
13 611
47 47
1

Prime factors of 3055 are 5, 13,47. Prime factorization of 3055 in exponential form is:

3055 = 51×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3050 and 3055.

LCM(3050,3055) = 21×52×131×471×611
LCM(3050,3055) = 1863550

Factors of 3050

List of positive integer factors of 3050 that divides 3050 without a remainder.

1, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050

Factors of 3055

List of positive integer factors of 3055 that divides 3055 without a remainder.

1, 5, 13, 47, 65, 235, 611, 3055

Least Common Multiple of 3050 and 3055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3050 and 3055, than apply into the LCM equation.

GCF(3050,3055) = 5
LCM(3050,3055) = ( 3050 × 3055) / 5
LCM(3050,3055) = 9317750 / 5
LCM(3050,3055) = 1863550

Properties of LCM 3050 and 3055

(i) The LCM of 3055 and 3050 is associative

LCM of 3050 and 3055 = LCM of 3055 and 3050

Related Least Common Multiples of 3050

Related Least Common Multiples of 3055

Frequently Asked Questions on LCM of 3050 and 3055

1. What is the LCM of 3050 and 3055?

Answer: LCM of 3050 and 3055 is 1863550.

2. What are the Factors of 3050?

Answer: Factors of 3050 are 1, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050. There are 12 integers that are factors of 3050. The greatest factor of 3050 is 3050.

3. What are the Factors of 3055?

Answer: Factors of 3055 are 1, 5, 13, 47, 65, 235, 611, 3055. There are 8 integers that are factors of 3055. The greatest factor of 3055 is 3055.

4. How to Find the LCM of 3050 and 3055?

Answer:

Least Common Multiple of 3050 and 3055 = 1863550

Step 1: Find the prime factorization of 3050

3050 = 2 x 5 x 5 x 61

Step 2: Find the prime factorization of 3055

3055 = 5 x 13 x 47

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

LCM = 1863550 = 2 x 5 x 5 x 13 x 47 x 61

Step 4: Therefore, the least common multiple of 3050 and 3055 is 1863550.