Least Common Multiple of 4940 and 4945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4940 and 4945 the smallest integer that is 4885660 that is divisible by both numbers.

Least Common Multiple (LCM) of 4940 and 4945 is 4885660.

LCM(4940,4945) = 4885660

LCM of 4940 and 4945

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

LCM of:
and

Least Common Multiple of 4940 and 4945

LCM of 4940 and 4945 is 4885660

Least common multiple can be found by multiplying the highest exponent prime factors of 4940 and 4945. First we will calculate the prime factors of 4940 and 4945.

Prime Factorization of 4940


2 4940
2 2470
5 1235
13 247
19 19
1

Prime factors of 4940 are 2, 5, 13,19. Prime factorization of 4940 in exponential form is:

4940 = 22×51×131×191

Prime Factorization of 4945


5 4945
23 989
43 43
1

Prime factors of 4945 are 5, 23,43. Prime factorization of 4945 in exponential form is:

4945 = 51×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4940 and 4945.

LCM(4940,4945) = 22×51×131×191×231×431
LCM(4940,4945) = 4885660

Factors of 4940

List of positive integer factors of 4940 that divides 4940 without a remainder.

1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940

Factors of 4945

List of positive integer factors of 4945 that divides 4945 without a remainder.

1, 5, 23, 43, 115, 215, 989, 4945

Least Common Multiple of 4940 and 4945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4940 and 4945, than apply into the LCM equation.

GCF(4940,4945) = 5
LCM(4940,4945) = ( 4940 × 4945) / 5
LCM(4940,4945) = 24428300 / 5
LCM(4940,4945) = 4885660

Properties of LCM 4940 and 4945

(i) The LCM of 4945 and 4940 is associative

LCM of 4940 and 4945 = LCM of 4945 and 4940

Related Least Common Multiples of 4940

Related Least Common Multiples of 4945

Frequently Asked Questions on LCM of 4940 and 4945

1. What is the LCM of 4940 and 4945?

Answer: LCM of 4940 and 4945 is 4885660.

2. What are the Factors of 4940?

Answer: Factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940. There are 24 integers that are factors of 4940. The greatest factor of 4940 is 4940.

3. What are the Factors of 4945?

Answer: Factors of 4945 are 1, 5, 23, 43, 115, 215, 989, 4945. There are 8 integers that are factors of 4945. The greatest factor of 4945 is 4945.

4. How to Find the LCM of 4940 and 4945?

Answer:

Least Common Multiple of 4940 and 4945 = 4885660

Step 1: Find the prime factorization of 4940

4940 = 2 x 2 x 5 x 13 x 19

Step 2: Find the prime factorization of 4945

4945 = 5 x 23 x 43

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

LCM = 4885660 = 2 x 2 x 5 x 13 x 19 x 23 x 43

Step 4: Therefore, the least common multiple of 4940 and 4945 is 4885660.