Least Common Multiple of 1943 and 1950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1943 and 1950 the smallest integer that is 3788850 that is divisible by both numbers.

Least Common Multiple (LCM) of 1943 and 1950 is 3788850.

LCM(1943,1950) = 3788850

LCM of 1943 and 1950

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

LCM of:
and

Least Common Multiple of 1943 and 1950

LCM of 1943 and 1950 is 3788850

Least common multiple can be found by multiplying the highest exponent prime factors of 1943 and 1950. First we will calculate the prime factors of 1943 and 1950.

Prime Factorization of 1943


29 1943
67 67
1

Prime factors of 1943 are 29,67. Prime factorization of 1943 in exponential form is:

1943 = 291×671

Prime Factorization of 1950


2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 1950 are 2, 3, 5,13. Prime factorization of 1950 in exponential form is:

1950 = 21×31×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1943 and 1950.

LCM(1943,1950) = 21×31×52×131×291×671
LCM(1943,1950) = 3788850

Factors of 1943

List of positive integer factors of 1943 that divides 1943 without a remainder.

1, 29, 67, 1943

Factors of 1950

List of positive integer factors of 1950 that divides 1950 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950

Least Common Multiple of 1943 and 1950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1943 and 1950, than apply into the LCM equation.

GCF(1943,1950) = 1
LCM(1943,1950) = ( 1943 × 1950) / 1
LCM(1943,1950) = 3788850 / 1
LCM(1943,1950) = 3788850

Properties of LCM 1943 and 1950

(i) The LCM of 1950 and 1943 is associative

LCM of 1943 and 1950 = LCM of 1950 and 1943

Related Least Common Multiples of 1943

Related Least Common Multiples of 1950

Frequently Asked Questions on LCM of 1943 and 1950

1. What is the LCM of 1943 and 1950?

Answer: LCM of 1943 and 1950 is 3788850.

2. What are the Factors of 1943?

Answer: Factors of 1943 are 1, 29, 67, 1943. There are 4 integers that are factors of 1943. The greatest factor of 1943 is 1943.

3. What are the Factors of 1950?

Answer: Factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950. There are 24 integers that are factors of 1950. The greatest factor of 1950 is 1950.

4. How to Find the LCM of 1943 and 1950?

Answer:

Least Common Multiple of 1943 and 1950 = 3788850

Step 1: Find the prime factorization of 1943

1943 = 29 x 67

Step 2: Find the prime factorization of 1950

1950 = 2 x 3 x 5 x 5 x 13

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

LCM = 3788850 = 2 x 3 x 5 x 5 x 13 x 29 x 67

Step 4: Therefore, the least common multiple of 1943 and 1950 is 3788850.