Least Common Multiple of 2943 and 2950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2943 and 2950 the smallest integer that is 8681850 that is divisible by both numbers.

Least Common Multiple (LCM) of 2943 and 2950 is 8681850.

LCM(2943,2950) = 8681850

LCM of 2943 and 2950

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

LCM of:
and

Least Common Multiple of 2943 and 2950

LCM of 2943 and 2950 is 8681850

Least common multiple can be found by multiplying the highest exponent prime factors of 2943 and 2950. First we will calculate the prime factors of 2943 and 2950.

Prime Factorization of 2943


3 2943
3 981
3 327
109 109
1

Prime factors of 2943 are 3,109. Prime factorization of 2943 in exponential form is:

2943 = 33×1091

Prime Factorization of 2950


2 2950
5 1475
5 295
59 59
1

Prime factors of 2950 are 2, 5,59. Prime factorization of 2950 in exponential form is:

2950 = 21×52×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2943 and 2950.

LCM(2943,2950) = 21×33×52×591×1091
LCM(2943,2950) = 8681850

Factors of 2943

List of positive integer factors of 2943 that divides 2943 without a remainder.

1, 3, 9, 27, 109, 327, 981, 2943

Factors of 2950

List of positive integer factors of 2950 that divides 2950 without a remainder.

1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950

Least Common Multiple of 2943 and 2950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2943 and 2950, than apply into the LCM equation.

GCF(2943,2950) = 1
LCM(2943,2950) = ( 2943 × 2950) / 1
LCM(2943,2950) = 8681850 / 1
LCM(2943,2950) = 8681850

Properties of LCM 2943 and 2950

(i) The LCM of 2950 and 2943 is associative

LCM of 2943 and 2950 = LCM of 2950 and 2943

Related Least Common Multiples of 2943

Related Least Common Multiples of 2950

Frequently Asked Questions on LCM of 2943 and 2950

1. What is the LCM of 2943 and 2950?

Answer: LCM of 2943 and 2950 is 8681850.

2. What are the Factors of 2943?

Answer: Factors of 2943 are 1, 3, 9, 27, 109, 327, 981, 2943. There are 8 integers that are factors of 2943. The greatest factor of 2943 is 2943.

3. What are the Factors of 2950?

Answer: Factors of 2950 are 1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950. There are 12 integers that are factors of 2950. The greatest factor of 2950 is 2950.

4. How to Find the LCM of 2943 and 2950?

Answer:

Least Common Multiple of 2943 and 2950 = 8681850

Step 1: Find the prime factorization of 2943

2943 = 3 x 3 x 3 x 109

Step 2: Find the prime factorization of 2950

2950 = 2 x 5 x 5 x 59

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

LCM = 8681850 = 2 x 3 x 3 x 3 x 5 x 5 x 59 x 109

Step 4: Therefore, the least common multiple of 2943 and 2950 is 8681850.