Least Common Multiple of 930 and 936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 930 and 936 the smallest integer that is 145080 that is divisible by both numbers.

Least Common Multiple (LCM) of 930 and 936 is 145080.

LCM(930,936) = 145080

LCM of 930 and 936

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

LCM of:
and

Least Common Multiple of 930 and 936

LCM of 930 and 936 is 145080

Least common multiple can be found by multiplying the highest exponent prime factors of 930 and 936. First we will calculate the prime factors of 930 and 936.

Prime Factorization of 930


2 930
3 465
5 155
31 31
1

Prime factors of 930 are 2, 3, 5,31. Prime factorization of 930 in exponential form is:

930 = 21×31×51×311

Prime Factorization of 936


2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 936 are 2, 3,13. Prime factorization of 936 in exponential form is:

936 = 23×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 930 and 936.

LCM(930,936) = 23×32×51×131×311
LCM(930,936) = 145080

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Least Common Multiple of 930 and 936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 930 and 936, than apply into the LCM equation.

GCF(930,936) = 6
LCM(930,936) = ( 930 × 936) / 6
LCM(930,936) = 870480 / 6
LCM(930,936) = 145080

Properties of LCM 930 and 936

(i) The LCM of 936 and 930 is associative

LCM of 930 and 936 = LCM of 936 and 930

Related Least Common Multiples of 930

Related Least Common Multiples of 936

Frequently Asked Questions on LCM of 930 and 936

1. What is the LCM of 930 and 936?

Answer: LCM of 930 and 936 is 145080.

2. What are the Factors of 930?

Answer: Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930. There are 16 integers that are factors of 930. The greatest factor of 930 is 930.

3. What are the Factors of 936?

Answer: Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936. There are 24 integers that are factors of 936. The greatest factor of 936 is 936.

4. How to Find the LCM of 930 and 936?

Answer:

Least Common Multiple of 930 and 936 = 145080

Step 1: Find the prime factorization of 930

930 = 2 x 3 x 5 x 31

Step 2: Find the prime factorization of 936

936 = 2 x 2 x 2 x 3 x 3 x 13

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

LCM = 145080 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 31

Step 4: Therefore, the least common multiple of 930 and 936 is 145080.