Least Common Multiple of 4188 and 4192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4188 and 4192 the smallest integer that is 4389024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4188 and 4192 is 4389024.

LCM(4188,4192) = 4389024

LCM of 4188 and 4192

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

LCM of:
and

Least Common Multiple of 4188 and 4192

LCM of 4188 and 4192 is 4389024

Least common multiple can be found by multiplying the highest exponent prime factors of 4188 and 4192. First we will calculate the prime factors of 4188 and 4192.

Prime Factorization of 4188


2 4188
2 2094
3 1047
349 349
1

Prime factors of 4188 are 2, 3,349. Prime factorization of 4188 in exponential form is:

4188 = 22×31×3491

Prime Factorization of 4192


2 4192
2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 4192 are 2,131. Prime factorization of 4192 in exponential form is:

4192 = 25×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 4188 and 4192.

LCM(4188,4192) = 25×31×1311×3491
LCM(4188,4192) = 4389024

Factors of 4188

List of positive integer factors of 4188 that divides 4188 without a remainder.

1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188

Factors of 4192

List of positive integer factors of 4192 that divides 4192 without a remainder.

1, 2, 4, 8, 16, 32, 131, 262, 524, 1048, 2096, 4192

Least Common Multiple of 4188 and 4192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4188 and 4192, than apply into the LCM equation.

GCF(4188,4192) = 4
LCM(4188,4192) = ( 4188 × 4192) / 4
LCM(4188,4192) = 17556096 / 4
LCM(4188,4192) = 4389024

Properties of LCM 4188 and 4192

(i) The LCM of 4192 and 4188 is associative

LCM of 4188 and 4192 = LCM of 4192 and 4188

Related Least Common Multiples of 4188

Related Least Common Multiples of 4192

Frequently Asked Questions on LCM of 4188 and 4192

1. What is the LCM of 4188 and 4192?

Answer: LCM of 4188 and 4192 is 4389024.

2. What are the Factors of 4188?

Answer: Factors of 4188 are 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188. There are 12 integers that are factors of 4188. The greatest factor of 4188 is 4188.

3. What are the Factors of 4192?

Answer: Factors of 4192 are 1, 2, 4, 8, 16, 32, 131, 262, 524, 1048, 2096, 4192. There are 12 integers that are factors of 4192. The greatest factor of 4192 is 4192.

4. How to Find the LCM of 4188 and 4192?

Answer:

Least Common Multiple of 4188 and 4192 = 4389024

Step 1: Find the prime factorization of 4188

4188 = 2 x 2 x 3 x 349

Step 2: Find the prime factorization of 4192

4192 = 2 x 2 x 2 x 2 x 2 x 131

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

LCM = 4389024 = 2 x 2 x 2 x 2 x 2 x 3 x 131 x 349

Step 4: Therefore, the least common multiple of 4188 and 4192 is 4389024.