Least Common Multiple of 3046 and 3053

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 3053 the smallest integer that is 9299438 that is divisible by both numbers.

Least Common Multiple (LCM) of 3046 and 3053 is 9299438.

LCM(3046,3053) = 9299438

LCM of 3046 and 3053

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

LCM of:
and

Least Common Multiple of 3046 and 3053

LCM of 3046 and 3053 is 9299438

Least common multiple can be found by multiplying the highest exponent prime factors of 3046 and 3053. First we will calculate the prime factors of 3046 and 3053.

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 3053


43 3053
71 71
1

Prime factors of 3053 are 43,71. Prime factorization of 3053 in exponential form is:

3053 = 431×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3046 and 3053.

LCM(3046,3053) = 21×431×711×15231
LCM(3046,3053) = 9299438

Factors of 3046

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

1, 2, 1523, 3046

Factors of 3053

List of positive integer factors of 3053 that divides 3053 without a remainder.

1, 43, 71, 3053

Least Common Multiple of 3046 and 3053 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 3053, than apply into the LCM equation.

GCF(3046,3053) = 1
LCM(3046,3053) = ( 3046 × 3053) / 1
LCM(3046,3053) = 9299438 / 1
LCM(3046,3053) = 9299438

Properties of LCM 3046 and 3053

(i) The LCM of 3053 and 3046 is associative

LCM of 3046 and 3053 = LCM of 3053 and 3046

Related Least Common Multiples of 3046

Related Least Common Multiples of 3053

Frequently Asked Questions on LCM of 3046 and 3053

1. What is the LCM of 3046 and 3053?

Answer: LCM of 3046 and 3053 is 9299438.

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 3053?

Answer: Factors of 3053 are 1, 43, 71, 3053. There are 4 integers that are factors of 3053. The greatest factor of 3053 is 3053.

4. How to Find the LCM of 3046 and 3053?

Answer:

Least Common Multiple of 3046 and 3053 = 9299438

Step 1: Find the prime factorization of 3046

3046 = 2 x 1523

Step 2: Find the prime factorization of 3053

3053 = 43 x 71

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

LCM = 9299438 = 2 x 43 x 71 x 1523

Step 4: Therefore, the least common multiple of 3046 and 3053 is 9299438.