Least Common Multiple of 1670 and 1678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1670 and 1678 the smallest integer that is 1401130 that is divisible by both numbers.

Least Common Multiple (LCM) of 1670 and 1678 is 1401130.

LCM(1670,1678) = 1401130

LCM of 1670 and 1678

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

LCM of:
and

Least Common Multiple of 1670 and 1678

LCM of 1670 and 1678 is 1401130

Least common multiple can be found by multiplying the highest exponent prime factors of 1670 and 1678. First we will calculate the prime factors of 1670 and 1678.

Prime Factorization of 1670


2 1670
5 835
167 167
1

Prime factors of 1670 are 2, 5,167. Prime factorization of 1670 in exponential form is:

1670 = 21×51×1671

Prime Factorization of 1678


2 1678
839 839
1

Prime factors of 1678 are 2,839. Prime factorization of 1678 in exponential form is:

1678 = 21×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 1670 and 1678.

LCM(1670,1678) = 21×51×1671×8391
LCM(1670,1678) = 1401130

Factors of 1670

List of positive integer factors of 1670 that divides 1670 without a remainder.

1, 2, 5, 10, 167, 334, 835, 1670

Factors of 1678

List of positive integer factors of 1678 that divides 1678 without a remainder.

1, 2, 839, 1678

Least Common Multiple of 1670 and 1678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1670 and 1678, than apply into the LCM equation.

GCF(1670,1678) = 2
LCM(1670,1678) = ( 1670 × 1678) / 2
LCM(1670,1678) = 2802260 / 2
LCM(1670,1678) = 1401130

Properties of LCM 1670 and 1678

(i) The LCM of 1678 and 1670 is associative

LCM of 1670 and 1678 = LCM of 1678 and 1670

Related Least Common Multiples of 1670

Related Least Common Multiples of 1678

Frequently Asked Questions on LCM of 1670 and 1678

1. What is the LCM of 1670 and 1678?

Answer: LCM of 1670 and 1678 is 1401130.

2. What are the Factors of 1670?

Answer: Factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670. There are 8 integers that are factors of 1670. The greatest factor of 1670 is 1670.

3. What are the Factors of 1678?

Answer: Factors of 1678 are 1, 2, 839, 1678. There are 4 integers that are factors of 1678. The greatest factor of 1678 is 1678.

4. How to Find the LCM of 1670 and 1678?

Answer:

Least Common Multiple of 1670 and 1678 = 1401130

Step 1: Find the prime factorization of 1670

1670 = 2 x 5 x 167

Step 2: Find the prime factorization of 1678

1678 = 2 x 839

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

LCM = 1401130 = 2 x 5 x 167 x 839

Step 4: Therefore, the least common multiple of 1670 and 1678 is 1401130.