Least Common Multiple of 5046 and 5051

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5046 and 5051 the smallest integer that is 25487346 that is divisible by both numbers.

Least Common Multiple (LCM) of 5046 and 5051 is 25487346.

LCM(5046,5051) = 25487346

LCM of 5046 and 5051

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

LCM of:
and

Least Common Multiple of 5046 and 5051

LCM of 5046 and 5051 is 25487346

Least common multiple can be found by multiplying the highest exponent prime factors of 5046 and 5051. First we will calculate the prime factors of 5046 and 5051.

Prime Factorization of 5046


2 5046
3 2523
29 841
29 29
1

Prime factors of 5046 are 2, 3,29. Prime factorization of 5046 in exponential form is:

5046 = 21×31×292

Prime Factorization of 5051


5051 5051
1

Prime factors of 5051 are 5051. Prime factorization of 5051 in exponential form is:

5051 = 50511

Now multiplying the highest exponent prime factors to calculate the LCM of 5046 and 5051.

LCM(5046,5051) = 21×31×292×50511
LCM(5046,5051) = 25487346

Factors of 5046

List of positive integer factors of 5046 that divides 5046 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046

Factors of 5051

List of positive integer factors of 5051 that divides 5051 without a remainder.

1, 5051

Least Common Multiple of 5046 and 5051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5046 and 5051, than apply into the LCM equation.

GCF(5046,5051) = 1
LCM(5046,5051) = ( 5046 × 5051) / 1
LCM(5046,5051) = 25487346 / 1
LCM(5046,5051) = 25487346

Properties of LCM 5046 and 5051

(i) The LCM of 5051 and 5046 is associative

LCM of 5046 and 5051 = LCM of 5051 and 5046

Related Least Common Multiples of 5046

Related Least Common Multiples of 5051

Frequently Asked Questions on LCM of 5046 and 5051

1. What is the LCM of 5046 and 5051?

Answer: LCM of 5046 and 5051 is 25487346.

2. What are the Factors of 5046?

Answer: Factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046. There are 12 integers that are factors of 5046. The greatest factor of 5046 is 5046.

3. What are the Factors of 5051?

Answer: Factors of 5051 are 1, 5051. There are 2 integers that are factors of 5051. The greatest factor of 5051 is 5051.

4. How to Find the LCM of 5046 and 5051?

Answer:

Least Common Multiple of 5046 and 5051 = 25487346

Step 1: Find the prime factorization of 5046

5046 = 2 x 3 x 29 x 29

Step 2: Find the prime factorization of 5051

5051 = 5051

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

LCM = 25487346 = 2 x 3 x 29 x 29 x 5051

Step 4: Therefore, the least common multiple of 5046 and 5051 is 25487346.