Least Common Multiple of 1668 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 1668 and 1674 the smallest integer that is 465372 that is divisible by both numbers.

Least Common Multiple (LCM) of 1668 and 1674 is 465372.

LCM(1668,1674) = 465372

LCM of 1668 and 1674

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

LCM of:
and

Least Common Multiple of 1668 and 1674

LCM of 1668 and 1674 is 465372

Least common multiple can be found by multiplying the highest exponent prime factors of 1668 and 1674. First we will calculate the prime factors of 1668 and 1674.

Prime Factorization of 1668


2 1668
2 834
3 417
139 139
1

Prime factors of 1668 are 2, 3,139. Prime factorization of 1668 in exponential form is:

1668 = 22×31×1391

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 1668 and 1674.

LCM(1668,1674) = 22×33×311×1391
LCM(1668,1674) = 465372

Factors of 1668

List of positive integer factors of 1668 that divides 1668 without a remainder.

1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668

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 1668 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 1668 and 1674, than apply into the LCM equation.

GCF(1668,1674) = 6
LCM(1668,1674) = ( 1668 × 1674) / 6
LCM(1668,1674) = 2792232 / 6
LCM(1668,1674) = 465372

Properties of LCM 1668 and 1674

(i) The LCM of 1674 and 1668 is associative

LCM of 1668 and 1674 = LCM of 1674 and 1668

Related Least Common Multiples of 1668

Related Least Common Multiples of 1674

Frequently Asked Questions on LCM of 1668 and 1674

1. What is the LCM of 1668 and 1674?

Answer: LCM of 1668 and 1674 is 465372.

2. What are the Factors of 1668?

Answer: Factors of 1668 are 1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668. There are 12 integers that are factors of 1668. The greatest factor of 1668 is 1668.

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 1668 and 1674?

Answer:

Least Common Multiple of 1668 and 1674 = 465372

Step 1: Find the prime factorization of 1668

1668 = 2 x 2 x 3 x 139

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 = 465372 = 2 x 2 x 3 x 3 x 3 x 31 x 139

Step 4: Therefore, the least common multiple of 1668 and 1674 is 465372.