Least Common Multiple of 1712 and 1720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1712 and 1720 the smallest integer that is 368080 that is divisible by both numbers.

Least Common Multiple (LCM) of 1712 and 1720 is 368080.

LCM(1712,1720) = 368080

LCM of 1712 and 1720

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

LCM of:
and

Least Common Multiple of 1712 and 1720

LCM of 1712 and 1720 is 368080

Least common multiple can be found by multiplying the highest exponent prime factors of 1712 and 1720. First we will calculate the prime factors of 1712 and 1720.

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

Prime Factorization of 1720


2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 1720 are 2, 5,43. Prime factorization of 1720 in exponential form is:

1720 = 23×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1712 and 1720.

LCM(1712,1720) = 24×51×431×1071
LCM(1712,1720) = 368080

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

Factors of 1720

List of positive integer factors of 1720 that divides 1720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720

Least Common Multiple of 1712 and 1720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1712 and 1720, than apply into the LCM equation.

GCF(1712,1720) = 8
LCM(1712,1720) = ( 1712 × 1720) / 8
LCM(1712,1720) = 2944640 / 8
LCM(1712,1720) = 368080

Properties of LCM 1712 and 1720

(i) The LCM of 1720 and 1712 is associative

LCM of 1712 and 1720 = LCM of 1720 and 1712

Related Least Common Multiples of 1712

Related Least Common Multiples of 1720

Frequently Asked Questions on LCM of 1712 and 1720

1. What is the LCM of 1712 and 1720?

Answer: LCM of 1712 and 1720 is 368080.

2. 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.

3. What are the Factors of 1720?

Answer: Factors of 1720 are 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720. There are 16 integers that are factors of 1720. The greatest factor of 1720 is 1720.

4. How to Find the LCM of 1712 and 1720?

Answer:

Least Common Multiple of 1712 and 1720 = 368080

Step 1: Find the prime factorization of 1712

1712 = 2 x 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 1720

1720 = 2 x 2 x 2 x 5 x 43

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

LCM = 368080 = 2 x 2 x 2 x 2 x 5 x 43 x 107

Step 4: Therefore, the least common multiple of 1712 and 1720 is 368080.