Least Common Multiple of 1665 and 1670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1665 and 1670 the smallest integer that is 556110 that is divisible by both numbers.

Least Common Multiple (LCM) of 1665 and 1670 is 556110.

LCM(1665,1670) = 556110

LCM of 1665 and 1670

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

LCM of:
and

Least Common Multiple of 1665 and 1670

LCM of 1665 and 1670 is 556110

Least common multiple can be found by multiplying the highest exponent prime factors of 1665 and 1670. First we will calculate the prime factors of 1665 and 1670.

Prime Factorization of 1665


3 1665
3 555
5 185
37 37
1

Prime factors of 1665 are 3, 5,37. Prime factorization of 1665 in exponential form is:

1665 = 32×51×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1665 and 1670.

LCM(1665,1670) = 21×32×51×371×1671
LCM(1665,1670) = 556110

Factors of 1665

List of positive integer factors of 1665 that divides 1665 without a remainder.

1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665

Factors of 1670

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

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

Least Common Multiple of 1665 and 1670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1665 and 1670, than apply into the LCM equation.

GCF(1665,1670) = 5
LCM(1665,1670) = ( 1665 × 1670) / 5
LCM(1665,1670) = 2780550 / 5
LCM(1665,1670) = 556110

Properties of LCM 1665 and 1670

(i) The LCM of 1670 and 1665 is associative

LCM of 1665 and 1670 = LCM of 1670 and 1665

Related Least Common Multiples of 1665

Related Least Common Multiples of 1670

Frequently Asked Questions on LCM of 1665 and 1670

1. What is the LCM of 1665 and 1670?

Answer: LCM of 1665 and 1670 is 556110.

2. What are the Factors of 1665?

Answer: Factors of 1665 are 1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665. There are 12 integers that are factors of 1665. The greatest factor of 1665 is 1665.

3. 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.

4. How to Find the LCM of 1665 and 1670?

Answer:

Least Common Multiple of 1665 and 1670 = 556110

Step 1: Find the prime factorization of 1665

1665 = 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 1670

1670 = 2 x 5 x 167

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

LCM = 556110 = 2 x 3 x 3 x 5 x 37 x 167

Step 4: Therefore, the least common multiple of 1665 and 1670 is 556110.