Least Common Multiple of 7878 and 7884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7878 and 7884 the smallest integer that is 10351692 that is divisible by both numbers.

Least Common Multiple (LCM) of 7878 and 7884 is 10351692.

LCM(7878,7884) = 10351692

LCM of 7878 and 7884

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

LCM of:
and

Least Common Multiple of 7878 and 7884

LCM of 7878 and 7884 is 10351692

Least common multiple can be found by multiplying the highest exponent prime factors of 7878 and 7884. First we will calculate the prime factors of 7878 and 7884.

Prime Factorization of 7878


2 7878
3 3939
13 1313
101 101
1

Prime factors of 7878 are 2, 3, 13,101. Prime factorization of 7878 in exponential form is:

7878 = 21×31×131×1011

Prime Factorization of 7884


2 7884
2 3942
3 1971
3 657
3 219
73 73
1

Prime factors of 7884 are 2, 3,73. Prime factorization of 7884 in exponential form is:

7884 = 22×33×731

Now multiplying the highest exponent prime factors to calculate the LCM of 7878 and 7884.

LCM(7878,7884) = 22×33×131×731×1011
LCM(7878,7884) = 10351692

Factors of 7878

List of positive integer factors of 7878 that divides 7878 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878

Factors of 7884

List of positive integer factors of 7884 that divides 7884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884

Least Common Multiple of 7878 and 7884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7878 and 7884, than apply into the LCM equation.

GCF(7878,7884) = 6
LCM(7878,7884) = ( 7878 × 7884) / 6
LCM(7878,7884) = 62110152 / 6
LCM(7878,7884) = 10351692

Properties of LCM 7878 and 7884

(i) The LCM of 7884 and 7878 is associative

LCM of 7878 and 7884 = LCM of 7884 and 7878

Related Least Common Multiples of 7878

Related Least Common Multiples of 7884

Frequently Asked Questions on LCM of 7878 and 7884

1. What is the LCM of 7878 and 7884?

Answer: LCM of 7878 and 7884 is 10351692.

2. What are the Factors of 7878?

Answer: Factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878. There are 16 integers that are factors of 7878. The greatest factor of 7878 is 7878.

3. What are the Factors of 7884?

Answer: Factors of 7884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884. There are 24 integers that are factors of 7884. The greatest factor of 7884 is 7884.

4. How to Find the LCM of 7878 and 7884?

Answer:

Least Common Multiple of 7878 and 7884 = 10351692

Step 1: Find the prime factorization of 7878

7878 = 2 x 3 x 13 x 101

Step 2: Find the prime factorization of 7884

7884 = 2 x 2 x 3 x 3 x 3 x 73

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

LCM = 10351692 = 2 x 2 x 3 x 3 x 3 x 13 x 73 x 101

Step 4: Therefore, the least common multiple of 7878 and 7884 is 10351692.