Least Common Multiple of 2943 and 2948

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 2948 the smallest integer that is 8675964 that is divisible by both numbers.

Least Common Multiple (LCM) of 2943 and 2948 is 8675964.

LCM(2943,2948) = 8675964

LCM of 2943 and 2948

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

LCM of:
and

Least Common Multiple of 2943 and 2948

LCM of 2943 and 2948 is 8675964

Least common multiple can be found by multiplying the highest exponent prime factors of 2943 and 2948. First we will calculate the prime factors of 2943 and 2948.

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 2948


2 2948
2 1474
11 737
67 67
1

Prime factors of 2948 are 2, 11,67. Prime factorization of 2948 in exponential form is:

2948 = 22×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2943 and 2948.

LCM(2943,2948) = 22×33×111×671×1091
LCM(2943,2948) = 8675964

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 2948

List of positive integer factors of 2948 that divides 2948 without a remainder.

1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948

Least Common Multiple of 2943 and 2948 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 2948, than apply into the LCM equation.

GCF(2943,2948) = 1
LCM(2943,2948) = ( 2943 × 2948) / 1
LCM(2943,2948) = 8675964 / 1
LCM(2943,2948) = 8675964

Properties of LCM 2943 and 2948

(i) The LCM of 2948 and 2943 is associative

LCM of 2943 and 2948 = LCM of 2948 and 2943

Related Least Common Multiples of 2943

Related Least Common Multiples of 2948

Frequently Asked Questions on LCM of 2943 and 2948

1. What is the LCM of 2943 and 2948?

Answer: LCM of 2943 and 2948 is 8675964.

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 2948?

Answer: Factors of 2948 are 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948. There are 12 integers that are factors of 2948. The greatest factor of 2948 is 2948.

4. How to Find the LCM of 2943 and 2948?

Answer:

Least Common Multiple of 2943 and 2948 = 8675964

Step 1: Find the prime factorization of 2943

2943 = 3 x 3 x 3 x 109

Step 2: Find the prime factorization of 2948

2948 = 2 x 2 x 11 x 67

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

LCM = 8675964 = 2 x 2 x 3 x 3 x 3 x 11 x 67 x 109

Step 4: Therefore, the least common multiple of 2943 and 2948 is 8675964.