Least Common Multiple of 936 and 942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 936 and 942 the smallest integer that is 146952 that is divisible by both numbers.

Least Common Multiple (LCM) of 936 and 942 is 146952.

LCM(936,942) = 146952

LCM of 936 and 942

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

LCM of:
and

Least Common Multiple of 936 and 942

LCM of 936 and 942 is 146952

Least common multiple can be found by multiplying the highest exponent prime factors of 936 and 942. First we will calculate the prime factors of 936 and 942.

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

Prime Factorization of 942


2 942
3 471
157 157
1

Prime factors of 942 are 2, 3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 936 and 942.

LCM(936,942) = 23×32×131×1571
LCM(936,942) = 146952

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

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Least Common Multiple of 936 and 942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 936 and 942, than apply into the LCM equation.

GCF(936,942) = 6
LCM(936,942) = ( 936 × 942) / 6
LCM(936,942) = 881712 / 6
LCM(936,942) = 146952

Properties of LCM 936 and 942

(i) The LCM of 942 and 936 is associative

LCM of 936 and 942 = LCM of 942 and 936

Related Least Common Multiples of 936

Related Least Common Multiples of 942

Frequently Asked Questions on LCM of 936 and 942

1. What is the LCM of 936 and 942?

Answer: LCM of 936 and 942 is 146952.

2. 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.

3. What are the Factors of 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

4. How to Find the LCM of 936 and 942?

Answer:

Least Common Multiple of 936 and 942 = 146952

Step 1: Find the prime factorization of 936

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

Step 2: Find the prime factorization of 942

942 = 2 x 3 x 157

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

LCM = 146952 = 2 x 2 x 2 x 3 x 3 x 13 x 157

Step 4: Therefore, the least common multiple of 936 and 942 is 146952.