Least Common Multiple of 7879 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 7879 and 7884 the smallest integer that is 62118036 that is divisible by both numbers.

Least Common Multiple (LCM) of 7879 and 7884 is 62118036.

LCM(7879,7884) = 62118036

LCM of 7879 and 7884

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

LCM of:
and

Least Common Multiple of 7879 and 7884

LCM of 7879 and 7884 is 62118036

Least common multiple can be found by multiplying the highest exponent prime factors of 7879 and 7884. First we will calculate the prime factors of 7879 and 7884.

Prime Factorization of 7879


7879 7879
1

Prime factors of 7879 are 7879. Prime factorization of 7879 in exponential form is:

7879 = 78791

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 7879 and 7884.

LCM(7879,7884) = 22×33×731×78791
LCM(7879,7884) = 62118036

Factors of 7879

List of positive integer factors of 7879 that divides 7879 without a remainder.

1, 7879

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 7879 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 7879 and 7884, than apply into the LCM equation.

GCF(7879,7884) = 1
LCM(7879,7884) = ( 7879 × 7884) / 1
LCM(7879,7884) = 62118036 / 1
LCM(7879,7884) = 62118036

Properties of LCM 7879 and 7884

(i) The LCM of 7884 and 7879 is associative

LCM of 7879 and 7884 = LCM of 7884 and 7879

Related Least Common Multiples of 7879

Related Least Common Multiples of 7884

Frequently Asked Questions on LCM of 7879 and 7884

1. What is the LCM of 7879 and 7884?

Answer: LCM of 7879 and 7884 is 62118036.

2. What are the Factors of 7879?

Answer: Factors of 7879 are 1, 7879. There are 2 integers that are factors of 7879. The greatest factor of 7879 is 7879.

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 7879 and 7884?

Answer:

Least Common Multiple of 7879 and 7884 = 62118036

Step 1: Find the prime factorization of 7879

7879 = 7879

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 = 62118036 = 2 x 2 x 3 x 3 x 3 x 73 x 7879

Step 4: Therefore, the least common multiple of 7879 and 7884 is 62118036.