Least Common Multiple of 7866 and 7874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7866 and 7874 the smallest integer that is 30968442 that is divisible by both numbers.

Least Common Multiple (LCM) of 7866 and 7874 is 30968442.

LCM(7866,7874) = 30968442

LCM of 7866 and 7874

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

LCM of:
and

Least Common Multiple of 7866 and 7874

LCM of 7866 and 7874 is 30968442

Least common multiple can be found by multiplying the highest exponent prime factors of 7866 and 7874. First we will calculate the prime factors of 7866 and 7874.

Prime Factorization of 7866


2 7866
3 3933
3 1311
19 437
23 23
1

Prime factors of 7866 are 2, 3, 19,23. Prime factorization of 7866 in exponential form is:

7866 = 21×32×191×231

Prime Factorization of 7874


2 7874
31 3937
127 127
1

Prime factors of 7874 are 2, 31,127. Prime factorization of 7874 in exponential form is:

7874 = 21×311×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7866 and 7874.

LCM(7866,7874) = 21×32×191×231×311×1271
LCM(7866,7874) = 30968442

Factors of 7866

List of positive integer factors of 7866 that divides 7866 without a remainder.

1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866

Factors of 7874

List of positive integer factors of 7874 that divides 7874 without a remainder.

1, 2, 31, 62, 127, 254, 3937, 7874

Least Common Multiple of 7866 and 7874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7866 and 7874, than apply into the LCM equation.

GCF(7866,7874) = 2
LCM(7866,7874) = ( 7866 × 7874) / 2
LCM(7866,7874) = 61936884 / 2
LCM(7866,7874) = 30968442

Properties of LCM 7866 and 7874

(i) The LCM of 7874 and 7866 is associative

LCM of 7866 and 7874 = LCM of 7874 and 7866

Related Least Common Multiples of 7866

Related Least Common Multiples of 7874

Frequently Asked Questions on LCM of 7866 and 7874

1. What is the LCM of 7866 and 7874?

Answer: LCM of 7866 and 7874 is 30968442.

2. What are the Factors of 7866?

Answer: Factors of 7866 are 1, 2, 3, 6, 9, 18, 19, 23, 38, 46, 57, 69, 114, 138, 171, 207, 342, 414, 437, 874, 1311, 2622, 3933, 7866. There are 24 integers that are factors of 7866. The greatest factor of 7866 is 7866.

3. What are the Factors of 7874?

Answer: Factors of 7874 are 1, 2, 31, 62, 127, 254, 3937, 7874. There are 8 integers that are factors of 7874. The greatest factor of 7874 is 7874.

4. How to Find the LCM of 7866 and 7874?

Answer:

Least Common Multiple of 7866 and 7874 = 30968442

Step 1: Find the prime factorization of 7866

7866 = 2 x 3 x 3 x 19 x 23

Step 2: Find the prime factorization of 7874

7874 = 2 x 31 x 127

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

LCM = 30968442 = 2 x 3 x 3 x 19 x 23 x 31 x 127

Step 4: Therefore, the least common multiple of 7866 and 7874 is 30968442.