Least Common Multiple of 2945 and 2950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2945 and 2950 the smallest integer that is 1737550 that is divisible by both numbers.

Least Common Multiple (LCM) of 2945 and 2950 is 1737550.

LCM(2945,2950) = 1737550

LCM of 2945 and 2950

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

LCM of:
and

Least Common Multiple of 2945 and 2950

LCM of 2945 and 2950 is 1737550

Least common multiple can be found by multiplying the highest exponent prime factors of 2945 and 2950. First we will calculate the prime factors of 2945 and 2950.

Prime Factorization of 2945


5 2945
19 589
31 31
1

Prime factors of 2945 are 5, 19,31. Prime factorization of 2945 in exponential form is:

2945 = 51×191×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2945 and 2950.

LCM(2945,2950) = 21×52×191×311×591
LCM(2945,2950) = 1737550

Factors of 2945

List of positive integer factors of 2945 that divides 2945 without a remainder.

1, 5, 19, 31, 95, 155, 589, 2945

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

Least Common Multiple of 2945 and 2950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2945 and 2950, than apply into the LCM equation.

GCF(2945,2950) = 5
LCM(2945,2950) = ( 2945 × 2950) / 5
LCM(2945,2950) = 8687750 / 5
LCM(2945,2950) = 1737550

Properties of LCM 2945 and 2950

(i) The LCM of 2950 and 2945 is associative

LCM of 2945 and 2950 = LCM of 2950 and 2945

Related Least Common Multiples of 2945

Related Least Common Multiples of 2950

Frequently Asked Questions on LCM of 2945 and 2950

1. What is the LCM of 2945 and 2950?

Answer: LCM of 2945 and 2950 is 1737550.

2. What are the Factors of 2945?

Answer: Factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945. There are 8 integers that are factors of 2945. The greatest factor of 2945 is 2945.

3. 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.

4. How to Find the LCM of 2945 and 2950?

Answer:

Least Common Multiple of 2945 and 2950 = 1737550

Step 1: Find the prime factorization of 2945

2945 = 5 x 19 x 31

Step 2: Find the prime factorization of 2950

2950 = 2 x 5 x 5 x 59

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

LCM = 1737550 = 2 x 5 x 5 x 19 x 31 x 59

Step 4: Therefore, the least common multiple of 2945 and 2950 is 1737550.