Least Common Multiple of 1673 and 1680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1673 and 1680 the smallest integer that is 401520 that is divisible by both numbers.

Least Common Multiple (LCM) of 1673 and 1680 is 401520.

LCM(1673,1680) = 401520

LCM of 1673 and 1680

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

LCM of:
and

Least Common Multiple of 1673 and 1680

LCM of 1673 and 1680 is 401520

Least common multiple can be found by multiplying the highest exponent prime factors of 1673 and 1680. First we will calculate the prime factors of 1673 and 1680.

Prime Factorization of 1673


7 1673
239 239
1

Prime factors of 1673 are 7,239. Prime factorization of 1673 in exponential form is:

1673 = 71×2391

Prime Factorization of 1680


2 1680
2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 1680 are 2, 3, 5,7. Prime factorization of 1680 in exponential form is:

1680 = 24×31×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1673 and 1680.

LCM(1673,1680) = 24×31×51×71×2391
LCM(1673,1680) = 401520

Factors of 1673

List of positive integer factors of 1673 that divides 1673 without a remainder.

1, 7, 239, 1673

Factors of 1680

List of positive integer factors of 1680 that divides 1680 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680

Least Common Multiple of 1673 and 1680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1673 and 1680, than apply into the LCM equation.

GCF(1673,1680) = 7
LCM(1673,1680) = ( 1673 × 1680) / 7
LCM(1673,1680) = 2810640 / 7
LCM(1673,1680) = 401520

Properties of LCM 1673 and 1680

(i) The LCM of 1680 and 1673 is associative

LCM of 1673 and 1680 = LCM of 1680 and 1673

Related Least Common Multiples of 1673

Related Least Common Multiples of 1680

Frequently Asked Questions on LCM of 1673 and 1680

1. What is the LCM of 1673 and 1680?

Answer: LCM of 1673 and 1680 is 401520.

2. What are the Factors of 1673?

Answer: Factors of 1673 are 1, 7, 239, 1673. There are 4 integers that are factors of 1673. The greatest factor of 1673 is 1673.

3. What are the Factors of 1680?

Answer: Factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680. There are 40 integers that are factors of 1680. The greatest factor of 1680 is 1680.

4. How to Find the LCM of 1673 and 1680?

Answer:

Least Common Multiple of 1673 and 1680 = 401520

Step 1: Find the prime factorization of 1673

1673 = 7 x 239

Step 2: Find the prime factorization of 1680

1680 = 2 x 2 x 2 x 2 x 3 x 5 x 7

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

LCM = 401520 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 239

Step 4: Therefore, the least common multiple of 1673 and 1680 is 401520.