Least Common Multiple of 7884 and 7890

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 7890 the smallest integer that is 10367460 that is divisible by both numbers.

Least Common Multiple (LCM) of 7884 and 7890 is 10367460.

LCM(7884,7890) = 10367460

LCM of 7884 and 7890

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

LCM of:
and

Least Common Multiple of 7884 and 7890

LCM of 7884 and 7890 is 10367460

Least common multiple can be found by multiplying the highest exponent prime factors of 7884 and 7890. First we will calculate the prime factors of 7884 and 7890.

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 7890


2 7890
3 3945
5 1315
263 263
1

Prime factors of 7890 are 2, 3, 5,263. Prime factorization of 7890 in exponential form is:

7890 = 21×31×51×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 7884 and 7890.

LCM(7884,7890) = 22×33×51×731×2631
LCM(7884,7890) = 10367460

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 7890

List of positive integer factors of 7890 that divides 7890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890

Least Common Multiple of 7884 and 7890 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 7890, than apply into the LCM equation.

GCF(7884,7890) = 6
LCM(7884,7890) = ( 7884 × 7890) / 6
LCM(7884,7890) = 62204760 / 6
LCM(7884,7890) = 10367460

Properties of LCM 7884 and 7890

(i) The LCM of 7890 and 7884 is associative

LCM of 7884 and 7890 = LCM of 7890 and 7884

Related Least Common Multiples of 7884

Related Least Common Multiples of 7890

Frequently Asked Questions on LCM of 7884 and 7890

1. What is the LCM of 7884 and 7890?

Answer: LCM of 7884 and 7890 is 10367460.

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 7890?

Answer: Factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890. There are 16 integers that are factors of 7890. The greatest factor of 7890 is 7890.

4. How to Find the LCM of 7884 and 7890?

Answer:

Least Common Multiple of 7884 and 7890 = 10367460

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 7890

7890 = 2 x 3 x 5 x 263

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

LCM = 10367460 = 2 x 2 x 3 x 3 x 3 x 5 x 73 x 263

Step 4: Therefore, the least common multiple of 7884 and 7890 is 10367460.