Least Common Multiple of 1670 and 1674

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 1674 the smallest integer that is 1397790 that is divisible by both numbers.

Least Common Multiple (LCM) of 1670 and 1674 is 1397790.

LCM(1670,1674) = 1397790

LCM of 1670 and 1674

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

LCM of:
and

Least Common Multiple of 1670 and 1674

LCM of 1670 and 1674 is 1397790

Least common multiple can be found by multiplying the highest exponent prime factors of 1670 and 1674. First we will calculate the prime factors of 1670 and 1674.

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 1674


2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 1674 are 2, 3,31. Prime factorization of 1674 in exponential form is:

1674 = 21×33×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1670 and 1674.

LCM(1670,1674) = 21×33×51×311×1671
LCM(1670,1674) = 1397790

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 1674

List of positive integer factors of 1674 that divides 1674 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674

Least Common Multiple of 1670 and 1674 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 1674, than apply into the LCM equation.

GCF(1670,1674) = 2
LCM(1670,1674) = ( 1670 × 1674) / 2
LCM(1670,1674) = 2795580 / 2
LCM(1670,1674) = 1397790

Properties of LCM 1670 and 1674

(i) The LCM of 1674 and 1670 is associative

LCM of 1670 and 1674 = LCM of 1674 and 1670

Related Least Common Multiples of 1670

Related Least Common Multiples of 1674

Frequently Asked Questions on LCM of 1670 and 1674

1. What is the LCM of 1670 and 1674?

Answer: LCM of 1670 and 1674 is 1397790.

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 1674?

Answer: Factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674. There are 16 integers that are factors of 1674. The greatest factor of 1674 is 1674.

4. How to Find the LCM of 1670 and 1674?

Answer:

Least Common Multiple of 1670 and 1674 = 1397790

Step 1: Find the prime factorization of 1670

1670 = 2 x 5 x 167

Step 2: Find the prime factorization of 1674

1674 = 2 x 3 x 3 x 3 x 31

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

LCM = 1397790 = 2 x 3 x 3 x 3 x 5 x 31 x 167

Step 4: Therefore, the least common multiple of 1670 and 1674 is 1397790.