Least Common Multiple of 3046 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 3046 and 3050 the smallest integer that is 4645150 that is divisible by both numbers.

Least Common Multiple (LCM) of 3046 and 3050 is 4645150.

LCM(3046,3050) = 4645150

LCM of 3046 and 3050

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

LCM of:
and

Least Common Multiple of 3046 and 3050

LCM of 3046 and 3050 is 4645150

Least common multiple can be found by multiplying the highest exponent prime factors of 3046 and 3050. First we will calculate the prime factors of 3046 and 3050.

Prime Factorization of 3046


2 3046
1523 1523
1

Prime factors of 3046 are 2,1523. Prime factorization of 3046 in exponential form is:

3046 = 21×15231

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 3046 and 3050.

LCM(3046,3050) = 21×52×611×15231
LCM(3046,3050) = 4645150

Factors of 3046

List of positive integer factors of 3046 that divides 3046 without a remainder.

1, 2, 1523, 3046

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 3046 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 3046 and 3050, than apply into the LCM equation.

GCF(3046,3050) = 2
LCM(3046,3050) = ( 3046 × 3050) / 2
LCM(3046,3050) = 9290300 / 2
LCM(3046,3050) = 4645150

Properties of LCM 3046 and 3050

(i) The LCM of 3050 and 3046 is associative

LCM of 3046 and 3050 = LCM of 3050 and 3046

Related Least Common Multiples of 3046

Related Least Common Multiples of 3050

Frequently Asked Questions on LCM of 3046 and 3050

1. What is the LCM of 3046 and 3050?

Answer: LCM of 3046 and 3050 is 4645150.

2. What are the Factors of 3046?

Answer: Factors of 3046 are 1, 2, 1523, 3046. There are 4 integers that are factors of 3046. The greatest factor of 3046 is 3046.

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 3046 and 3050?

Answer:

Least Common Multiple of 3046 and 3050 = 4645150

Step 1: Find the prime factorization of 3046

3046 = 2 x 1523

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 = 4645150 = 2 x 5 x 5 x 61 x 1523

Step 4: Therefore, the least common multiple of 3046 and 3050 is 4645150.