Least Common Multiple of 1773 and 1779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1773 and 1779 the smallest integer that is 1051389 that is divisible by both numbers.

Least Common Multiple (LCM) of 1773 and 1779 is 1051389.

LCM(1773,1779) = 1051389

LCM of 1773 and 1779

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

LCM of:
and

Least Common Multiple of 1773 and 1779

LCM of 1773 and 1779 is 1051389

Least common multiple can be found by multiplying the highest exponent prime factors of 1773 and 1779. First we will calculate the prime factors of 1773 and 1779.

Prime Factorization of 1773


3 1773
3 591
197 197
1

Prime factors of 1773 are 3,197. Prime factorization of 1773 in exponential form is:

1773 = 32×1971

Prime Factorization of 1779


3 1779
593 593
1

Prime factors of 1779 are 3,593. Prime factorization of 1779 in exponential form is:

1779 = 31×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 1773 and 1779.

LCM(1773,1779) = 32×1971×5931
LCM(1773,1779) = 1051389

Factors of 1773

List of positive integer factors of 1773 that divides 1773 without a remainder.

1, 3, 9, 197, 591, 1773

Factors of 1779

List of positive integer factors of 1779 that divides 1779 without a remainder.

1, 3, 593, 1779

Least Common Multiple of 1773 and 1779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1773 and 1779, than apply into the LCM equation.

GCF(1773,1779) = 3
LCM(1773,1779) = ( 1773 × 1779) / 3
LCM(1773,1779) = 3154167 / 3
LCM(1773,1779) = 1051389

Properties of LCM 1773 and 1779

(i) The LCM of 1779 and 1773 is associative

LCM of 1773 and 1779 = LCM of 1779 and 1773

Related Least Common Multiples of 1773

Related Least Common Multiples of 1779

Frequently Asked Questions on LCM of 1773 and 1779

1. What is the LCM of 1773 and 1779?

Answer: LCM of 1773 and 1779 is 1051389.

2. What are the Factors of 1773?

Answer: Factors of 1773 are 1, 3, 9, 197, 591, 1773. There are 6 integers that are factors of 1773. The greatest factor of 1773 is 1773.

3. What are the Factors of 1779?

Answer: Factors of 1779 are 1, 3, 593, 1779. There are 4 integers that are factors of 1779. The greatest factor of 1779 is 1779.

4. How to Find the LCM of 1773 and 1779?

Answer:

Least Common Multiple of 1773 and 1779 = 1051389

Step 1: Find the prime factorization of 1773

1773 = 3 x 3 x 197

Step 2: Find the prime factorization of 1779

1779 = 3 x 593

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

LCM = 1051389 = 3 x 3 x 197 x 593

Step 4: Therefore, the least common multiple of 1773 and 1779 is 1051389.