Least Common Multiple of 1707 and 1712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1707 and 1712 the smallest integer that is 2922384 that is divisible by both numbers.

Least Common Multiple (LCM) of 1707 and 1712 is 2922384.

LCM(1707,1712) = 2922384

LCM of 1707 and 1712

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

LCM of:
and

Least Common Multiple of 1707 and 1712

LCM of 1707 and 1712 is 2922384

Least common multiple can be found by multiplying the highest exponent prime factors of 1707 and 1712. First we will calculate the prime factors of 1707 and 1712.

Prime Factorization of 1707


3 1707
569 569
1

Prime factors of 1707 are 3,569. Prime factorization of 1707 in exponential form is:

1707 = 31×5691

Prime Factorization of 1712


2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 1712 are 2,107. Prime factorization of 1712 in exponential form is:

1712 = 24×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1707 and 1712.

LCM(1707,1712) = 24×31×1071×5691
LCM(1707,1712) = 2922384

Factors of 1707

List of positive integer factors of 1707 that divides 1707 without a remainder.

1, 3, 569, 1707

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1, 2, 4, 8, 16, 107, 214, 428, 856, 1712

Least Common Multiple of 1707 and 1712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1707 and 1712, than apply into the LCM equation.

GCF(1707,1712) = 1
LCM(1707,1712) = ( 1707 × 1712) / 1
LCM(1707,1712) = 2922384 / 1
LCM(1707,1712) = 2922384

Properties of LCM 1707 and 1712

(i) The LCM of 1712 and 1707 is associative

LCM of 1707 and 1712 = LCM of 1712 and 1707

Related Least Common Multiples of 1707

Related Least Common Multiples of 1712

Frequently Asked Questions on LCM of 1707 and 1712

1. What is the LCM of 1707 and 1712?

Answer: LCM of 1707 and 1712 is 2922384.

2. What are the Factors of 1707?

Answer: Factors of 1707 are 1, 3, 569, 1707. There are 4 integers that are factors of 1707. The greatest factor of 1707 is 1707.

3. What are the Factors of 1712?

Answer: Factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712. There are 10 integers that are factors of 1712. The greatest factor of 1712 is 1712.

4. How to Find the LCM of 1707 and 1712?

Answer:

Least Common Multiple of 1707 and 1712 = 2922384

Step 1: Find the prime factorization of 1707

1707 = 3 x 569

Step 2: Find the prime factorization of 1712

1712 = 2 x 2 x 2 x 2 x 107

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

LCM = 2922384 = 2 x 2 x 2 x 2 x 3 x 107 x 569

Step 4: Therefore, the least common multiple of 1707 and 1712 is 2922384.