Least Common Multiple of 7884 and 7891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7884 and 7891 the smallest integer that is 62212644 that is divisible by both numbers.

Least Common Multiple (LCM) of 7884 and 7891 is 62212644.

LCM(7884,7891) = 62212644

LCM of 7884 and 7891

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

LCM of:
and

Least Common Multiple of 7884 and 7891

LCM of 7884 and 7891 is 62212644

Least common multiple can be found by multiplying the highest exponent prime factors of 7884 and 7891. First we will calculate the prime factors of 7884 and 7891.

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

Prime Factorization of 7891


13 7891
607 607
1

Prime factors of 7891 are 13,607. Prime factorization of 7891 in exponential form is:

7891 = 131×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 7884 and 7891.

LCM(7884,7891) = 22×33×131×731×6071
LCM(7884,7891) = 62212644

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

Factors of 7891

List of positive integer factors of 7891 that divides 7891 without a remainder.

1, 13, 607, 7891

Least Common Multiple of 7884 and 7891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7884 and 7891, than apply into the LCM equation.

GCF(7884,7891) = 1
LCM(7884,7891) = ( 7884 × 7891) / 1
LCM(7884,7891) = 62212644 / 1
LCM(7884,7891) = 62212644

Properties of LCM 7884 and 7891

(i) The LCM of 7891 and 7884 is associative

LCM of 7884 and 7891 = LCM of 7891 and 7884

Related Least Common Multiples of 7884

Related Least Common Multiples of 7891

Frequently Asked Questions on LCM of 7884 and 7891

1. What is the LCM of 7884 and 7891?

Answer: LCM of 7884 and 7891 is 62212644.

2. 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.

3. What are the Factors of 7891?

Answer: Factors of 7891 are 1, 13, 607, 7891. There are 4 integers that are factors of 7891. The greatest factor of 7891 is 7891.

4. How to Find the LCM of 7884 and 7891?

Answer:

Least Common Multiple of 7884 and 7891 = 62212644

Step 1: Find the prime factorization of 7884

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

Step 2: Find the prime factorization of 7891

7891 = 13 x 607

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

LCM = 62212644 = 2 x 2 x 3 x 3 x 3 x 13 x 73 x 607

Step 4: Therefore, the least common multiple of 7884 and 7891 is 62212644.