Least Common Multiple of 3042 and 3050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3042 and 3050 the smallest integer that is 4639050 that is divisible by both numbers.

Least Common Multiple (LCM) of 3042 and 3050 is 4639050.

LCM(3042,3050) = 4639050

LCM of 3042 and 3050

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

LCM of:
and

Least Common Multiple of 3042 and 3050

LCM of 3042 and 3050 is 4639050

Least common multiple can be found by multiplying the highest exponent prime factors of 3042 and 3050. First we will calculate the prime factors of 3042 and 3050.

Prime Factorization of 3042


2 3042
3 1521
3 507
13 169
13 13
1

Prime factors of 3042 are 2, 3,13. Prime factorization of 3042 in exponential form is:

3042 = 21×32×132

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3042 and 3050.

LCM(3042,3050) = 21×32×52×132×611
LCM(3042,3050) = 4639050

Factors of 3042

List of positive integer factors of 3042 that divides 3042 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042

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

Least Common Multiple of 3042 and 3050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3042 and 3050, than apply into the LCM equation.

GCF(3042,3050) = 2
LCM(3042,3050) = ( 3042 × 3050) / 2
LCM(3042,3050) = 9278100 / 2
LCM(3042,3050) = 4639050

Properties of LCM 3042 and 3050

(i) The LCM of 3050 and 3042 is associative

LCM of 3042 and 3050 = LCM of 3050 and 3042

Related Least Common Multiples of 3042

Related Least Common Multiples of 3050

Frequently Asked Questions on LCM of 3042 and 3050

1. What is the LCM of 3042 and 3050?

Answer: LCM of 3042 and 3050 is 4639050.

2. What are the Factors of 3042?

Answer: Factors of 3042 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042. There are 18 integers that are factors of 3042. The greatest factor of 3042 is 3042.

3. 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.

4. How to Find the LCM of 3042 and 3050?

Answer:

Least Common Multiple of 3042 and 3050 = 4639050

Step 1: Find the prime factorization of 3042

3042 = 2 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 3050

3050 = 2 x 5 x 5 x 61

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

LCM = 4639050 = 2 x 3 x 3 x 5 x 5 x 13 x 13 x 61

Step 4: Therefore, the least common multiple of 3042 and 3050 is 4639050.