Least Common Multiple of 1672 and 1679

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 1679 the smallest integer that is 2807288 that is divisible by both numbers.

Least Common Multiple (LCM) of 1672 and 1679 is 2807288.

LCM(1672,1679) = 2807288

LCM of 1672 and 1679

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

LCM of:
and

Least Common Multiple of 1672 and 1679

LCM of 1672 and 1679 is 2807288

Least common multiple can be found by multiplying the highest exponent prime factors of 1672 and 1679. First we will calculate the prime factors of 1672 and 1679.

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 1679


23 1679
73 73
1

Prime factors of 1679 are 23,73. Prime factorization of 1679 in exponential form is:

1679 = 231×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1672 and 1679.

LCM(1672,1679) = 23×111×191×231×731
LCM(1672,1679) = 2807288

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 1679

List of positive integer factors of 1679 that divides 1679 without a remainder.

1, 23, 73, 1679

Least Common Multiple of 1672 and 1679 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 1679, than apply into the LCM equation.

GCF(1672,1679) = 1
LCM(1672,1679) = ( 1672 × 1679) / 1
LCM(1672,1679) = 2807288 / 1
LCM(1672,1679) = 2807288

Properties of LCM 1672 and 1679

(i) The LCM of 1679 and 1672 is associative

LCM of 1672 and 1679 = LCM of 1679 and 1672

Related Least Common Multiples of 1672

Related Least Common Multiples of 1679

Frequently Asked Questions on LCM of 1672 and 1679

1. What is the LCM of 1672 and 1679?

Answer: LCM of 1672 and 1679 is 2807288.

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 1679?

Answer: Factors of 1679 are 1, 23, 73, 1679. There are 4 integers that are factors of 1679. The greatest factor of 1679 is 1679.

4. How to Find the LCM of 1672 and 1679?

Answer:

Least Common Multiple of 1672 and 1679 = 2807288

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 1679

1679 = 23 x 73

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

LCM = 2807288 = 2 x 2 x 2 x 11 x 19 x 23 x 73

Step 4: Therefore, the least common multiple of 1672 and 1679 is 2807288.