Least Common Multiple of 2947 and 2955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2947 and 2955 the smallest integer that is 8708385 that is divisible by both numbers.

Least Common Multiple (LCM) of 2947 and 2955 is 8708385.

LCM(2947,2955) = 8708385

LCM of 2947 and 2955

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

LCM of:
and

Least Common Multiple of 2947 and 2955

LCM of 2947 and 2955 is 8708385

Least common multiple can be found by multiplying the highest exponent prime factors of 2947 and 2955. First we will calculate the prime factors of 2947 and 2955.

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

Prime Factorization of 2955


3 2955
5 985
197 197
1

Prime factors of 2955 are 3, 5,197. Prime factorization of 2955 in exponential form is:

2955 = 31×51×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 2947 and 2955.

LCM(2947,2955) = 31×51×71×1971×4211
LCM(2947,2955) = 8708385

Factors of 2947

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

1, 7, 421, 2947

Factors of 2955

List of positive integer factors of 2955 that divides 2955 without a remainder.

1, 3, 5, 15, 197, 591, 985, 2955

Least Common Multiple of 2947 and 2955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2947 and 2955, than apply into the LCM equation.

GCF(2947,2955) = 1
LCM(2947,2955) = ( 2947 × 2955) / 1
LCM(2947,2955) = 8708385 / 1
LCM(2947,2955) = 8708385

Properties of LCM 2947 and 2955

(i) The LCM of 2955 and 2947 is associative

LCM of 2947 and 2955 = LCM of 2955 and 2947

Related Least Common Multiples of 2947

Related Least Common Multiples of 2955

Frequently Asked Questions on LCM of 2947 and 2955

1. What is the LCM of 2947 and 2955?

Answer: LCM of 2947 and 2955 is 8708385.

2. 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.

3. What are the Factors of 2955?

Answer: Factors of 2955 are 1, 3, 5, 15, 197, 591, 985, 2955. There are 8 integers that are factors of 2955. The greatest factor of 2955 is 2955.

4. How to Find the LCM of 2947 and 2955?

Answer:

Least Common Multiple of 2947 and 2955 = 8708385

Step 1: Find the prime factorization of 2947

2947 = 7 x 421

Step 2: Find the prime factorization of 2955

2955 = 3 x 5 x 197

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

LCM = 8708385 = 3 x 5 x 7 x 197 x 421

Step 4: Therefore, the least common multiple of 2947 and 2955 is 8708385.