Least Common Multiple of 8930 and 8936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8930 and 8936 the smallest integer that is 39899240 that is divisible by both numbers.

Least Common Multiple (LCM) of 8930 and 8936 is 39899240.

LCM(8930,8936) = 39899240

LCM of 8930 and 8936

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

LCM of:
and

Least Common Multiple of 8930 and 8936

LCM of 8930 and 8936 is 39899240

Least common multiple can be found by multiplying the highest exponent prime factors of 8930 and 8936. First we will calculate the prime factors of 8930 and 8936.

Prime Factorization of 8930


2 8930
5 4465
19 893
47 47
1

Prime factors of 8930 are 2, 5, 19,47. Prime factorization of 8930 in exponential form is:

8930 = 21×51×191×471

Prime Factorization of 8936


2 8936
2 4468
2 2234
1117 1117
1

Prime factors of 8936 are 2,1117. Prime factorization of 8936 in exponential form is:

8936 = 23×11171

Now multiplying the highest exponent prime factors to calculate the LCM of 8930 and 8936.

LCM(8930,8936) = 23×51×191×471×11171
LCM(8930,8936) = 39899240

Factors of 8930

List of positive integer factors of 8930 that divides 8930 without a remainder.

1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930

Factors of 8936

List of positive integer factors of 8936 that divides 8936 without a remainder.

1, 2, 4, 8, 1117, 2234, 4468, 8936

Least Common Multiple of 8930 and 8936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8930 and 8936, than apply into the LCM equation.

GCF(8930,8936) = 2
LCM(8930,8936) = ( 8930 × 8936) / 2
LCM(8930,8936) = 79798480 / 2
LCM(8930,8936) = 39899240

Properties of LCM 8930 and 8936

(i) The LCM of 8936 and 8930 is associative

LCM of 8930 and 8936 = LCM of 8936 and 8930

Related Least Common Multiples of 8930

Related Least Common Multiples of 8936

Frequently Asked Questions on LCM of 8930 and 8936

1. What is the LCM of 8930 and 8936?

Answer: LCM of 8930 and 8936 is 39899240.

2. What are the Factors of 8930?

Answer: Factors of 8930 are 1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930. There are 16 integers that are factors of 8930. The greatest factor of 8930 is 8930.

3. What are the Factors of 8936?

Answer: Factors of 8936 are 1, 2, 4, 8, 1117, 2234, 4468, 8936. There are 8 integers that are factors of 8936. The greatest factor of 8936 is 8936.

4. How to Find the LCM of 8930 and 8936?

Answer:

Least Common Multiple of 8930 and 8936 = 39899240

Step 1: Find the prime factorization of 8930

8930 = 2 x 5 x 19 x 47

Step 2: Find the prime factorization of 8936

8936 = 2 x 2 x 2 x 1117

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

LCM = 39899240 = 2 x 2 x 2 x 5 x 19 x 47 x 1117

Step 4: Therefore, the least common multiple of 8930 and 8936 is 39899240.