Least Common Multiple of 1672 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 1672 and 1676 the smallest integer that is 700568 that is divisible by both numbers.

Least Common Multiple (LCM) of 1672 and 1676 is 700568.

LCM(1672,1676) = 700568

LCM of 1672 and 1676

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

LCM of:
and

Least Common Multiple of 1672 and 1676

LCM of 1672 and 1676 is 700568

Least common multiple can be found by multiplying the highest exponent prime factors of 1672 and 1676. First we will calculate the prime factors of 1672 and 1676.

Prime Factorization of 1672


2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 1672 are 2, 11,19. Prime factorization of 1672 in exponential form is:

1672 = 23×111×191

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 1672 and 1676.

LCM(1672,1676) = 23×111×191×4191
LCM(1672,1676) = 700568

Factors of 1672

List of positive integer factors of 1672 that divides 1672 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672

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 1672 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 1672 and 1676, than apply into the LCM equation.

GCF(1672,1676) = 4
LCM(1672,1676) = ( 1672 × 1676) / 4
LCM(1672,1676) = 2802272 / 4
LCM(1672,1676) = 700568

Properties of LCM 1672 and 1676

(i) The LCM of 1676 and 1672 is associative

LCM of 1672 and 1676 = LCM of 1676 and 1672

Related Least Common Multiples of 1672

Related Least Common Multiples of 1676

Frequently Asked Questions on LCM of 1672 and 1676

1. What is the LCM of 1672 and 1676?

Answer: LCM of 1672 and 1676 is 700568.

2. What are the Factors of 1672?

Answer: Factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672. There are 16 integers that are factors of 1672. The greatest factor of 1672 is 1672.

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 1672 and 1676?

Answer:

Least Common Multiple of 1672 and 1676 = 700568

Step 1: Find the prime factorization of 1672

1672 = 2 x 2 x 2 x 11 x 19

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 = 700568 = 2 x 2 x 2 x 11 x 19 x 419

Step 4: Therefore, the least common multiple of 1672 and 1676 is 700568.