Least Common Multiple of 7884 and 7892

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 7892 the smallest integer that is 15555132 that is divisible by both numbers.

Least Common Multiple (LCM) of 7884 and 7892 is 15555132.

LCM(7884,7892) = 15555132

LCM of 7884 and 7892

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

LCM of:
and

Least Common Multiple of 7884 and 7892

LCM of 7884 and 7892 is 15555132

Least common multiple can be found by multiplying the highest exponent prime factors of 7884 and 7892. First we will calculate the prime factors of 7884 and 7892.

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 7892


2 7892
2 3946
1973 1973
1

Prime factors of 7892 are 2,1973. Prime factorization of 7892 in exponential form is:

7892 = 22×19731

Now multiplying the highest exponent prime factors to calculate the LCM of 7884 and 7892.

LCM(7884,7892) = 22×33×731×19731
LCM(7884,7892) = 15555132

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 7892

List of positive integer factors of 7892 that divides 7892 without a remainder.

1, 2, 4, 1973, 3946, 7892

Least Common Multiple of 7884 and 7892 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 7892, than apply into the LCM equation.

GCF(7884,7892) = 4
LCM(7884,7892) = ( 7884 × 7892) / 4
LCM(7884,7892) = 62220528 / 4
LCM(7884,7892) = 15555132

Properties of LCM 7884 and 7892

(i) The LCM of 7892 and 7884 is associative

LCM of 7884 and 7892 = LCM of 7892 and 7884

Related Least Common Multiples of 7884

Related Least Common Multiples of 7892

Frequently Asked Questions on LCM of 7884 and 7892

1. What is the LCM of 7884 and 7892?

Answer: LCM of 7884 and 7892 is 15555132.

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 7892?

Answer: Factors of 7892 are 1, 2, 4, 1973, 3946, 7892. There are 6 integers that are factors of 7892. The greatest factor of 7892 is 7892.

4. How to Find the LCM of 7884 and 7892?

Answer:

Least Common Multiple of 7884 and 7892 = 15555132

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 7892

7892 = 2 x 2 x 1973

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

LCM = 15555132 = 2 x 2 x 3 x 3 x 3 x 73 x 1973

Step 4: Therefore, the least common multiple of 7884 and 7892 is 15555132.