Least Common Multiple of 2187 and 2192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2187 and 2192 the smallest integer that is 4793904 that is divisible by both numbers.

Least Common Multiple (LCM) of 2187 and 2192 is 4793904.

LCM(2187,2192) = 4793904

LCM of 2187 and 2192

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

LCM of:
and

Least Common Multiple of 2187 and 2192

LCM of 2187 and 2192 is 4793904

Least common multiple can be found by multiplying the highest exponent prime factors of 2187 and 2192. First we will calculate the prime factors of 2187 and 2192.

Prime Factorization of 2187


3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 2187 are 3. Prime factorization of 2187 in exponential form is:

2187 = 37

Prime Factorization of 2192


2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 2192 are 2,137. Prime factorization of 2192 in exponential form is:

2192 = 24×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2187 and 2192.

LCM(2187,2192) = 24×37×1371
LCM(2187,2192) = 4793904

Factors of 2187

List of positive integer factors of 2187 that divides 2187 without a remainder.

1, 3, 9, 27, 81, 243, 729, 2187

Factors of 2192

List of positive integer factors of 2192 that divides 2192 without a remainder.

1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192

Least Common Multiple of 2187 and 2192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2187 and 2192, than apply into the LCM equation.

GCF(2187,2192) = 1
LCM(2187,2192) = ( 2187 × 2192) / 1
LCM(2187,2192) = 4793904 / 1
LCM(2187,2192) = 4793904

Properties of LCM 2187 and 2192

(i) The LCM of 2192 and 2187 is associative

LCM of 2187 and 2192 = LCM of 2192 and 2187

Related Least Common Multiples of 2187

Related Least Common Multiples of 2192

Frequently Asked Questions on LCM of 2187 and 2192

1. What is the LCM of 2187 and 2192?

Answer: LCM of 2187 and 2192 is 4793904.

2. What are the Factors of 2187?

Answer: Factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187. There are 8 integers that are factors of 2187. The greatest factor of 2187 is 2187.

3. What are the Factors of 2192?

Answer: Factors of 2192 are 1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192. There are 10 integers that are factors of 2192. The greatest factor of 2192 is 2192.

4. How to Find the LCM of 2187 and 2192?

Answer:

Least Common Multiple of 2187 and 2192 = 4793904

Step 1: Find the prime factorization of 2187

2187 = 3 x 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 2192

2192 = 2 x 2 x 2 x 2 x 137

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

LCM = 4793904 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 137

Step 4: Therefore, the least common multiple of 2187 and 2192 is 4793904.