Least Common Multiple of 43 and 50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 43 and 50 the smallest integer that is 2150 that is divisible by both numbers.

Least Common Multiple (LCM) of 43 and 50 is 2150.

LCM(43,50) = 2150

LCM of 43 and 50

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

LCM of:
and

Least Common Multiple of 43 and 50

LCM of 43 and 50 is 2150

Least common multiple can be found by multiplying the highest exponent prime factors of 43 and 50. First we will calculate the prime factors of 43 and 50.

Prime Factorization of 43


43 43
1

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

43 = 431

Prime Factorization of 50


2 50
5 25
5 5
1

Prime factors of 50 are 2,5. Prime factorization of 50 in exponential form is:

50 = 21×52

Now multiplying the highest exponent prime factors to calculate the LCM of 43 and 50.

LCM(43,50) = 21×52×431
LCM(43,50) = 2150

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1, 43

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Least Common Multiple of 43 and 50 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43 and 50, than apply into the LCM equation.

GCF(43,50) = 1
LCM(43,50) = ( 43 × 50) / 1
LCM(43,50) = 2150 / 1
LCM(43,50) = 2150

Properties of LCM 43 and 50

(i) The LCM of 50 and 43 is associative

LCM of 43 and 50 = LCM of 50 and 43

Frequently Asked Questions on LCM of 43 and 50

1. What is the LCM of 43 and 50?

Answer: LCM of 43 and 50 is 2150.

2. What are the Factors of 43?

Answer: Factors of 43 are 1, 43. There are 2 integers that are factors of 43. The greatest factor of 43 is 43.

3. What are the Factors of 50?

Answer: Factors of 50 are 1, 2, 5, 10, 25, 50. There are 6 integers that are factors of 50. The greatest factor of 50 is 50.

4. How to Find the LCM of 43 and 50?

Answer:

Least Common Multiple of 43 and 50 = 2150

Step 1: Find the prime factorization of 43

43 = 43

Step 2: Find the prime factorization of 50

50 = 2 x 5 x 5

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

LCM = 2150 = 2 x 5 x 5 x 43

Step 4: Therefore, the least common multiple of 43 and 50 is 2150.