Least Common Multiple of 2938 and 2945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2938 and 2945 the smallest integer that is 8652410 that is divisible by both numbers.

Least Common Multiple (LCM) of 2938 and 2945 is 8652410.

LCM(2938,2945) = 8652410

LCM of 2938 and 2945

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

LCM of:
and

Least Common Multiple of 2938 and 2945

LCM of 2938 and 2945 is 8652410

Least common multiple can be found by multiplying the highest exponent prime factors of 2938 and 2945. First we will calculate the prime factors of 2938 and 2945.

Prime Factorization of 2938


2 2938
13 1469
113 113
1

Prime factors of 2938 are 2, 13,113. Prime factorization of 2938 in exponential form is:

2938 = 21×131×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2938 and 2945.

LCM(2938,2945) = 21×51×131×191×311×1131
LCM(2938,2945) = 8652410

Factors of 2938

List of positive integer factors of 2938 that divides 2938 without a remainder.

1, 2, 13, 26, 113, 226, 1469, 2938

Factors of 2945

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

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

Least Common Multiple of 2938 and 2945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2938 and 2945, than apply into the LCM equation.

GCF(2938,2945) = 1
LCM(2938,2945) = ( 2938 × 2945) / 1
LCM(2938,2945) = 8652410 / 1
LCM(2938,2945) = 8652410

Properties of LCM 2938 and 2945

(i) The LCM of 2945 and 2938 is associative

LCM of 2938 and 2945 = LCM of 2945 and 2938

Related Least Common Multiples of 2938

Related Least Common Multiples of 2945

Frequently Asked Questions on LCM of 2938 and 2945

1. What is the LCM of 2938 and 2945?

Answer: LCM of 2938 and 2945 is 8652410.

2. What are the Factors of 2938?

Answer: Factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938. There are 8 integers that are factors of 2938. The greatest factor of 2938 is 2938.

3. 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.

4. How to Find the LCM of 2938 and 2945?

Answer:

Least Common Multiple of 2938 and 2945 = 8652410

Step 1: Find the prime factorization of 2938

2938 = 2 x 13 x 113

Step 2: Find the prime factorization of 2945

2945 = 5 x 19 x 31

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

LCM = 8652410 = 2 x 5 x 13 x 19 x 31 x 113

Step 4: Therefore, the least common multiple of 2938 and 2945 is 8652410.