Least Common Multiple of 2950 and 2957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2950 and 2957 the smallest integer that is 8723150 that is divisible by both numbers.

Least Common Multiple (LCM) of 2950 and 2957 is 8723150.

LCM(2950,2957) = 8723150

LCM of 2950 and 2957

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

LCM of:
and

Least Common Multiple of 2950 and 2957

LCM of 2950 and 2957 is 8723150

Least common multiple can be found by multiplying the highest exponent prime factors of 2950 and 2957. First we will calculate the prime factors of 2950 and 2957.

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

Prime Factorization of 2957


2957 2957
1

Prime factors of 2957 are 2957. Prime factorization of 2957 in exponential form is:

2957 = 29571

Now multiplying the highest exponent prime factors to calculate the LCM of 2950 and 2957.

LCM(2950,2957) = 21×52×591×29571
LCM(2950,2957) = 8723150

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

Factors of 2957

List of positive integer factors of 2957 that divides 2957 without a remainder.

1, 2957

Least Common Multiple of 2950 and 2957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2950 and 2957, than apply into the LCM equation.

GCF(2950,2957) = 1
LCM(2950,2957) = ( 2950 × 2957) / 1
LCM(2950,2957) = 8723150 / 1
LCM(2950,2957) = 8723150

Properties of LCM 2950 and 2957

(i) The LCM of 2957 and 2950 is associative

LCM of 2950 and 2957 = LCM of 2957 and 2950

Related Least Common Multiples of 2950

Related Least Common Multiples of 2957

Frequently Asked Questions on LCM of 2950 and 2957

1. What is the LCM of 2950 and 2957?

Answer: LCM of 2950 and 2957 is 8723150.

2. 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.

3. What are the Factors of 2957?

Answer: Factors of 2957 are 1, 2957. There are 2 integers that are factors of 2957. The greatest factor of 2957 is 2957.

4. How to Find the LCM of 2950 and 2957?

Answer:

Least Common Multiple of 2950 and 2957 = 8723150

Step 1: Find the prime factorization of 2950

2950 = 2 x 5 x 5 x 59

Step 2: Find the prime factorization of 2957

2957 = 2957

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

LCM = 8723150 = 2 x 5 x 5 x 59 x 2957

Step 4: Therefore, the least common multiple of 2950 and 2957 is 8723150.