Least Common Multiple of 6936 and 6942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6936 and 6942 the smallest integer that is 8024952 that is divisible by both numbers.

Least Common Multiple (LCM) of 6936 and 6942 is 8024952.

LCM(6936,6942) = 8024952

LCM of 6936 and 6942

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

LCM of:
and

Least Common Multiple of 6936 and 6942

LCM of 6936 and 6942 is 8024952

Least common multiple can be found by multiplying the highest exponent prime factors of 6936 and 6942. First we will calculate the prime factors of 6936 and 6942.

Prime Factorization of 6936


2 6936
2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 6936 are 2, 3,17. Prime factorization of 6936 in exponential form is:

6936 = 23×31×172

Prime Factorization of 6942


2 6942
3 3471
13 1157
89 89
1

Prime factors of 6942 are 2, 3, 13,89. Prime factorization of 6942 in exponential form is:

6942 = 21×31×131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6936 and 6942.

LCM(6936,6942) = 23×31×131×172×891
LCM(6936,6942) = 8024952

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936

Factors of 6942

List of positive integer factors of 6942 that divides 6942 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942

Least Common Multiple of 6936 and 6942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6936 and 6942, than apply into the LCM equation.

GCF(6936,6942) = 6
LCM(6936,6942) = ( 6936 × 6942) / 6
LCM(6936,6942) = 48149712 / 6
LCM(6936,6942) = 8024952

Properties of LCM 6936 and 6942

(i) The LCM of 6942 and 6936 is associative

LCM of 6936 and 6942 = LCM of 6942 and 6936

Related Least Common Multiples of 6936

Related Least Common Multiples of 6942

Frequently Asked Questions on LCM of 6936 and 6942

1. What is the LCM of 6936 and 6942?

Answer: LCM of 6936 and 6942 is 8024952.

2. What are the Factors of 6936?

Answer: Factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936. There are 24 integers that are factors of 6936. The greatest factor of 6936 is 6936.

3. What are the Factors of 6942?

Answer: Factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942. There are 16 integers that are factors of 6942. The greatest factor of 6942 is 6942.

4. How to Find the LCM of 6936 and 6942?

Answer:

Least Common Multiple of 6936 and 6942 = 8024952

Step 1: Find the prime factorization of 6936

6936 = 2 x 2 x 2 x 3 x 17 x 17

Step 2: Find the prime factorization of 6942

6942 = 2 x 3 x 13 x 89

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

LCM = 8024952 = 2 x 2 x 2 x 3 x 13 x 17 x 17 x 89

Step 4: Therefore, the least common multiple of 6936 and 6942 is 8024952.