Least Common Multiple of 50 and 57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 50 and 57 the smallest integer that is 2850 that is divisible by both numbers.

Least Common Multiple (LCM) of 50 and 57 is 2850.

LCM(50,57) = 2850

LCM of 50 and 57

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

LCM of:
and

Least Common Multiple of 50 and 57

LCM of 50 and 57 is 2850

Least common multiple can be found by multiplying the highest exponent prime factors of 50 and 57. First we will calculate the prime factors of 50 and 57.

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

Prime Factorization of 57


3 57
19 19
1

Prime factors of 57 are 3,19. Prime factorization of 57 in exponential form is:

57 = 31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 50 and 57.

LCM(50,57) = 21×31×52×191
LCM(50,57) = 2850

Factors of 50

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

1, 2, 5, 10, 25, 50

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Least Common Multiple of 50 and 57 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50 and 57, than apply into the LCM equation.

GCF(50,57) = 1
LCM(50,57) = ( 50 × 57) / 1
LCM(50,57) = 2850 / 1
LCM(50,57) = 2850

Properties of LCM 50 and 57

(i) The LCM of 57 and 50 is associative

LCM of 50 and 57 = LCM of 57 and 50

Related Least Common Multiples of 50

Related Least Common Multiples of 57

Frequently Asked Questions on LCM of 50 and 57

1. What is the LCM of 50 and 57?

Answer: LCM of 50 and 57 is 2850.

2. 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.

3. What are the Factors of 57?

Answer: Factors of 57 are 1, 3, 19, 57. There are 4 integers that are factors of 57. The greatest factor of 57 is 57.

4. How to Find the LCM of 50 and 57?

Answer:

Least Common Multiple of 50 and 57 = 2850

Step 1: Find the prime factorization of 50

50 = 2 x 5 x 5

Step 2: Find the prime factorization of 57

57 = 3 x 19

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

LCM = 2850 = 2 x 3 x 5 x 5 x 19

Step 4: Therefore, the least common multiple of 50 and 57 is 2850.