Least Common Multiple of 1792 and 1799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1792 and 1799 the smallest integer that is 460544 that is divisible by both numbers.

Least Common Multiple (LCM) of 1792 and 1799 is 460544.

LCM(1792,1799) = 460544

LCM of 1792 and 1799

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

LCM of:
and

Least Common Multiple of 1792 and 1799

LCM of 1792 and 1799 is 460544

Least common multiple can be found by multiplying the highest exponent prime factors of 1792 and 1799. First we will calculate the prime factors of 1792 and 1799.

Prime Factorization of 1792


2 1792
2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 1792 are 2,7. Prime factorization of 1792 in exponential form is:

1792 = 28×71

Prime Factorization of 1799


7 1799
257 257
1

Prime factors of 1799 are 7,257. Prime factorization of 1799 in exponential form is:

1799 = 71×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 1792 and 1799.

LCM(1792,1799) = 28×71×2571
LCM(1792,1799) = 460544

Factors of 1792

List of positive integer factors of 1792 that divides 1792 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792

Factors of 1799

List of positive integer factors of 1799 that divides 1799 without a remainder.

1, 7, 257, 1799

Least Common Multiple of 1792 and 1799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1792 and 1799, than apply into the LCM equation.

GCF(1792,1799) = 7
LCM(1792,1799) = ( 1792 × 1799) / 7
LCM(1792,1799) = 3223808 / 7
LCM(1792,1799) = 460544

Properties of LCM 1792 and 1799

(i) The LCM of 1799 and 1792 is associative

LCM of 1792 and 1799 = LCM of 1799 and 1792

Related Least Common Multiples of 1792

Related Least Common Multiples of 1799

Frequently Asked Questions on LCM of 1792 and 1799

1. What is the LCM of 1792 and 1799?

Answer: LCM of 1792 and 1799 is 460544.

2. What are the Factors of 1792?

Answer: Factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792. There are 18 integers that are factors of 1792. The greatest factor of 1792 is 1792.

3. What are the Factors of 1799?

Answer: Factors of 1799 are 1, 7, 257, 1799. There are 4 integers that are factors of 1799. The greatest factor of 1799 is 1799.

4. How to Find the LCM of 1792 and 1799?

Answer:

Least Common Multiple of 1792 and 1799 = 460544

Step 1: Find the prime factorization of 1792

1792 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 1799

1799 = 7 x 257

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

LCM = 460544 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 257

Step 4: Therefore, the least common multiple of 1792 and 1799 is 460544.