Least Common Multiple of 1773 and 1778

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 1778 the smallest integer that is 3152394 that is divisible by both numbers.

Least Common Multiple (LCM) of 1773 and 1778 is 3152394.

LCM(1773,1778) = 3152394

LCM of 1773 and 1778

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

LCM of:
and

Least Common Multiple of 1773 and 1778

LCM of 1773 and 1778 is 3152394

Least common multiple can be found by multiplying the highest exponent prime factors of 1773 and 1778. First we will calculate the prime factors of 1773 and 1778.

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 1778


2 1778
7 889
127 127
1

Prime factors of 1778 are 2, 7,127. Prime factorization of 1778 in exponential form is:

1778 = 21×71×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 1773 and 1778.

LCM(1773,1778) = 21×32×71×1271×1971
LCM(1773,1778) = 3152394

Factors of 1773

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

1, 3, 9, 197, 591, 1773

Factors of 1778

List of positive integer factors of 1778 that divides 1778 without a remainder.

1, 2, 7, 14, 127, 254, 889, 1778

Least Common Multiple of 1773 and 1778 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 1778, than apply into the LCM equation.

GCF(1773,1778) = 1
LCM(1773,1778) = ( 1773 × 1778) / 1
LCM(1773,1778) = 3152394 / 1
LCM(1773,1778) = 3152394

Properties of LCM 1773 and 1778

(i) The LCM of 1778 and 1773 is associative

LCM of 1773 and 1778 = LCM of 1778 and 1773

Related Least Common Multiples of 1773

Related Least Common Multiples of 1778

Frequently Asked Questions on LCM of 1773 and 1778

1. What is the LCM of 1773 and 1778?

Answer: LCM of 1773 and 1778 is 3152394.

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 1778?

Answer: Factors of 1778 are 1, 2, 7, 14, 127, 254, 889, 1778. There are 8 integers that are factors of 1778. The greatest factor of 1778 is 1778.

4. How to Find the LCM of 1773 and 1778?

Answer:

Least Common Multiple of 1773 and 1778 = 3152394

Step 1: Find the prime factorization of 1773

1773 = 3 x 3 x 197

Step 2: Find the prime factorization of 1778

1778 = 2 x 7 x 127

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

LCM = 3152394 = 2 x 3 x 3 x 7 x 127 x 197

Step 4: Therefore, the least common multiple of 1773 and 1778 is 3152394.