Least Common Multiple of 2939 and 2947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2939 and 2947 the smallest integer that is 8661233 that is divisible by both numbers.

Least Common Multiple (LCM) of 2939 and 2947 is 8661233.

LCM(2939,2947) = 8661233

LCM of 2939 and 2947

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

LCM of:
and

Least Common Multiple of 2939 and 2947

LCM of 2939 and 2947 is 8661233

Least common multiple can be found by multiplying the highest exponent prime factors of 2939 and 2947. First we will calculate the prime factors of 2939 and 2947.

Prime Factorization of 2939


2939 2939
1

Prime factors of 2939 are 2939. Prime factorization of 2939 in exponential form is:

2939 = 29391

Prime Factorization of 2947


7 2947
421 421
1

Prime factors of 2947 are 7,421. Prime factorization of 2947 in exponential form is:

2947 = 71×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 2939 and 2947.

LCM(2939,2947) = 71×4211×29391
LCM(2939,2947) = 8661233

Factors of 2939

List of positive integer factors of 2939 that divides 2939 without a remainder.

1, 2939

Factors of 2947

List of positive integer factors of 2947 that divides 2947 without a remainder.

1, 7, 421, 2947

Least Common Multiple of 2939 and 2947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2939 and 2947, than apply into the LCM equation.

GCF(2939,2947) = 1
LCM(2939,2947) = ( 2939 × 2947) / 1
LCM(2939,2947) = 8661233 / 1
LCM(2939,2947) = 8661233

Properties of LCM 2939 and 2947

(i) The LCM of 2947 and 2939 is associative

LCM of 2939 and 2947 = LCM of 2947 and 2939

Related Least Common Multiples of 2939

Related Least Common Multiples of 2947

Frequently Asked Questions on LCM of 2939 and 2947

1. What is the LCM of 2939 and 2947?

Answer: LCM of 2939 and 2947 is 8661233.

2. What are the Factors of 2939?

Answer: Factors of 2939 are 1, 2939. There are 2 integers that are factors of 2939. The greatest factor of 2939 is 2939.

3. What are the Factors of 2947?

Answer: Factors of 2947 are 1, 7, 421, 2947. There are 4 integers that are factors of 2947. The greatest factor of 2947 is 2947.

4. How to Find the LCM of 2939 and 2947?

Answer:

Least Common Multiple of 2939 and 2947 = 8661233

Step 1: Find the prime factorization of 2939

2939 = 2939

Step 2: Find the prime factorization of 2947

2947 = 7 x 421

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

LCM = 8661233 = 7 x 421 x 2939

Step 4: Therefore, the least common multiple of 2939 and 2947 is 8661233.