Least Common Multiple of 2942 and 2943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2942 and 2943 the smallest integer that is 8658306 that is divisible by both numbers.

Least Common Multiple (LCM) of 2942 and 2943 is 8658306.

LCM(2942,2943) = 8658306

LCM of 2942 and 2943

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

LCM of:
and

Least Common Multiple of 2942 and 2943

LCM of 2942 and 2943 is 8658306

Least common multiple can be found by multiplying the highest exponent prime factors of 2942 and 2943. First we will calculate the prime factors of 2942 and 2943.

Prime Factorization of 2942


2 2942
1471 1471
1

Prime factors of 2942 are 2,1471. Prime factorization of 2942 in exponential form is:

2942 = 21×14711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2942 and 2943.

LCM(2942,2943) = 21×33×1091×14711
LCM(2942,2943) = 8658306

Factors of 2942

List of positive integer factors of 2942 that divides 2942 without a remainder.

1, 2, 1471, 2942

Factors of 2943

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

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

Least Common Multiple of 2942 and 2943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2942 and 2943, than apply into the LCM equation.

GCF(2942,2943) = 1
LCM(2942,2943) = ( 2942 × 2943) / 1
LCM(2942,2943) = 8658306 / 1
LCM(2942,2943) = 8658306

Properties of LCM 2942 and 2943

(i) The LCM of 2943 and 2942 is associative

LCM of 2942 and 2943 = LCM of 2943 and 2942

Related Least Common Multiples of 2942

Related Least Common Multiples of 2943

Frequently Asked Questions on LCM of 2942 and 2943

1. What is the LCM of 2942 and 2943?

Answer: LCM of 2942 and 2943 is 8658306.

2. What are the Factors of 2942?

Answer: Factors of 2942 are 1, 2, 1471, 2942. There are 4 integers that are factors of 2942. The greatest factor of 2942 is 2942.

3. 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.

4. How to Find the LCM of 2942 and 2943?

Answer:

Least Common Multiple of 2942 and 2943 = 8658306

Step 1: Find the prime factorization of 2942

2942 = 2 x 1471

Step 2: Find the prime factorization of 2943

2943 = 3 x 3 x 3 x 109

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

LCM = 8658306 = 2 x 3 x 3 x 3 x 109 x 1471

Step 4: Therefore, the least common multiple of 2942 and 2943 is 8658306.