Least Common Multiple of 8939 and 8945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8939 and 8945 the smallest integer that is 79959355 that is divisible by both numbers.

Least Common Multiple (LCM) of 8939 and 8945 is 79959355.

LCM(8939,8945) = 79959355

LCM of 8939 and 8945

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

LCM of:
and

Least Common Multiple of 8939 and 8945

LCM of 8939 and 8945 is 79959355

Least common multiple can be found by multiplying the highest exponent prime factors of 8939 and 8945. First we will calculate the prime factors of 8939 and 8945.

Prime Factorization of 8939


7 8939
1277 1277
1

Prime factors of 8939 are 7,1277. Prime factorization of 8939 in exponential form is:

8939 = 71×12771

Prime Factorization of 8945


5 8945
1789 1789
1

Prime factors of 8945 are 5,1789. Prime factorization of 8945 in exponential form is:

8945 = 51×17891

Now multiplying the highest exponent prime factors to calculate the LCM of 8939 and 8945.

LCM(8939,8945) = 51×71×12771×17891
LCM(8939,8945) = 79959355

Factors of 8939

List of positive integer factors of 8939 that divides 8939 without a remainder.

1, 7, 1277, 8939

Factors of 8945

List of positive integer factors of 8945 that divides 8945 without a remainder.

1, 5, 1789, 8945

Least Common Multiple of 8939 and 8945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8939 and 8945, than apply into the LCM equation.

GCF(8939,8945) = 1
LCM(8939,8945) = ( 8939 × 8945) / 1
LCM(8939,8945) = 79959355 / 1
LCM(8939,8945) = 79959355

Properties of LCM 8939 and 8945

(i) The LCM of 8945 and 8939 is associative

LCM of 8939 and 8945 = LCM of 8945 and 8939

Related Least Common Multiples of 8939

Related Least Common Multiples of 8945

Frequently Asked Questions on LCM of 8939 and 8945

1. What is the LCM of 8939 and 8945?

Answer: LCM of 8939 and 8945 is 79959355.

2. What are the Factors of 8939?

Answer: Factors of 8939 are 1, 7, 1277, 8939. There are 4 integers that are factors of 8939. The greatest factor of 8939 is 8939.

3. What are the Factors of 8945?

Answer: Factors of 8945 are 1, 5, 1789, 8945. There are 4 integers that are factors of 8945. The greatest factor of 8945 is 8945.

4. How to Find the LCM of 8939 and 8945?

Answer:

Least Common Multiple of 8939 and 8945 = 79959355

Step 1: Find the prime factorization of 8939

8939 = 7 x 1277

Step 2: Find the prime factorization of 8945

8945 = 5 x 1789

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

LCM = 79959355 = 5 x 7 x 1277 x 1789

Step 4: Therefore, the least common multiple of 8939 and 8945 is 79959355.