Least Common Multiple of 1668 and 1676

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 1676 the smallest integer that is 698892 that is divisible by both numbers.

Least Common Multiple (LCM) of 1668 and 1676 is 698892.

LCM(1668,1676) = 698892

LCM of 1668 and 1676

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

LCM of:
and

Least Common Multiple of 1668 and 1676

LCM of 1668 and 1676 is 698892

Least common multiple can be found by multiplying the highest exponent prime factors of 1668 and 1676. First we will calculate the prime factors of 1668 and 1676.

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 1676


2 1676
2 838
419 419
1

Prime factors of 1676 are 2,419. Prime factorization of 1676 in exponential form is:

1676 = 22×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 1668 and 1676.

LCM(1668,1676) = 22×31×1391×4191
LCM(1668,1676) = 698892

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 1676

List of positive integer factors of 1676 that divides 1676 without a remainder.

1, 2, 4, 419, 838, 1676

Least Common Multiple of 1668 and 1676 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 1676, than apply into the LCM equation.

GCF(1668,1676) = 4
LCM(1668,1676) = ( 1668 × 1676) / 4
LCM(1668,1676) = 2795568 / 4
LCM(1668,1676) = 698892

Properties of LCM 1668 and 1676

(i) The LCM of 1676 and 1668 is associative

LCM of 1668 and 1676 = LCM of 1676 and 1668

Related Least Common Multiples of 1668

Related Least Common Multiples of 1676

Frequently Asked Questions on LCM of 1668 and 1676

1. What is the LCM of 1668 and 1676?

Answer: LCM of 1668 and 1676 is 698892.

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 1676?

Answer: Factors of 1676 are 1, 2, 4, 419, 838, 1676. There are 6 integers that are factors of 1676. The greatest factor of 1676 is 1676.

4. How to Find the LCM of 1668 and 1676?

Answer:

Least Common Multiple of 1668 and 1676 = 698892

Step 1: Find the prime factorization of 1668

1668 = 2 x 2 x 3 x 139

Step 2: Find the prime factorization of 1676

1676 = 2 x 2 x 419

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

LCM = 698892 = 2 x 2 x 3 x 139 x 419

Step 4: Therefore, the least common multiple of 1668 and 1676 is 698892.