Least Common Multiple of 5046 and 5050

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 5050 the smallest integer that is 12741150 that is divisible by both numbers.

Least Common Multiple (LCM) of 5046 and 5050 is 12741150.

LCM(5046,5050) = 12741150

LCM of 5046 and 5050

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

LCM of:
and

Least Common Multiple of 5046 and 5050

LCM of 5046 and 5050 is 12741150

Least common multiple can be found by multiplying the highest exponent prime factors of 5046 and 5050. First we will calculate the prime factors of 5046 and 5050.

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 5050


2 5050
5 2525
5 505
101 101
1

Prime factors of 5050 are 2, 5,101. Prime factorization of 5050 in exponential form is:

5050 = 21×52×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5046 and 5050.

LCM(5046,5050) = 21×31×52×292×1011
LCM(5046,5050) = 12741150

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 5050

List of positive integer factors of 5050 that divides 5050 without a remainder.

1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050

Least Common Multiple of 5046 and 5050 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 5050, than apply into the LCM equation.

GCF(5046,5050) = 2
LCM(5046,5050) = ( 5046 × 5050) / 2
LCM(5046,5050) = 25482300 / 2
LCM(5046,5050) = 12741150

Properties of LCM 5046 and 5050

(i) The LCM of 5050 and 5046 is associative

LCM of 5046 and 5050 = LCM of 5050 and 5046

Related Least Common Multiples of 5046

Related Least Common Multiples of 5050

Frequently Asked Questions on LCM of 5046 and 5050

1. What is the LCM of 5046 and 5050?

Answer: LCM of 5046 and 5050 is 12741150.

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 5050?

Answer: Factors of 5050 are 1, 2, 5, 10, 25, 50, 101, 202, 505, 1010, 2525, 5050. There are 12 integers that are factors of 5050. The greatest factor of 5050 is 5050.

4. How to Find the LCM of 5046 and 5050?

Answer:

Least Common Multiple of 5046 and 5050 = 12741150

Step 1: Find the prime factorization of 5046

5046 = 2 x 3 x 29 x 29

Step 2: Find the prime factorization of 5050

5050 = 2 x 5 x 5 x 101

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

LCM = 12741150 = 2 x 3 x 5 x 5 x 29 x 29 x 101

Step 4: Therefore, the least common multiple of 5046 and 5050 is 12741150.