Least Common Multiple of 1770 and 1775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1770 and 1775 the smallest integer that is 628350 that is divisible by both numbers.

Least Common Multiple (LCM) of 1770 and 1775 is 628350.

LCM(1770,1775) = 628350

LCM of 1770 and 1775

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

LCM of:
and

Least Common Multiple of 1770 and 1775

LCM of 1770 and 1775 is 628350

Least common multiple can be found by multiplying the highest exponent prime factors of 1770 and 1775. First we will calculate the prime factors of 1770 and 1775.

Prime Factorization of 1770


2 1770
3 885
5 295
59 59
1

Prime factors of 1770 are 2, 3, 5,59. Prime factorization of 1770 in exponential form is:

1770 = 21×31×51×591

Prime Factorization of 1775


5 1775
5 355
71 71
1

Prime factors of 1775 are 5,71. Prime factorization of 1775 in exponential form is:

1775 = 52×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1770 and 1775.

LCM(1770,1775) = 21×31×52×591×711
LCM(1770,1775) = 628350

Factors of 1770

List of positive integer factors of 1770 that divides 1770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770

Factors of 1775

List of positive integer factors of 1775 that divides 1775 without a remainder.

1, 5, 25, 71, 355, 1775

Least Common Multiple of 1770 and 1775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1770 and 1775, than apply into the LCM equation.

GCF(1770,1775) = 5
LCM(1770,1775) = ( 1770 × 1775) / 5
LCM(1770,1775) = 3141750 / 5
LCM(1770,1775) = 628350

Properties of LCM 1770 and 1775

(i) The LCM of 1775 and 1770 is associative

LCM of 1770 and 1775 = LCM of 1775 and 1770

Related Least Common Multiples of 1770

Related Least Common Multiples of 1775

Frequently Asked Questions on LCM of 1770 and 1775

1. What is the LCM of 1770 and 1775?

Answer: LCM of 1770 and 1775 is 628350.

2. What are the Factors of 1770?

Answer: Factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770. There are 16 integers that are factors of 1770. The greatest factor of 1770 is 1770.

3. What are the Factors of 1775?

Answer: Factors of 1775 are 1, 5, 25, 71, 355, 1775. There are 6 integers that are factors of 1775. The greatest factor of 1775 is 1775.

4. How to Find the LCM of 1770 and 1775?

Answer:

Least Common Multiple of 1770 and 1775 = 628350

Step 1: Find the prime factorization of 1770

1770 = 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 1775

1775 = 5 x 5 x 71

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

LCM = 628350 = 2 x 3 x 5 x 5 x 59 x 71

Step 4: Therefore, the least common multiple of 1770 and 1775 is 628350.