Least Common Multiple of 1770 and 1774

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 1774 the smallest integer that is 1569990 that is divisible by both numbers.

Least Common Multiple (LCM) of 1770 and 1774 is 1569990.

LCM(1770,1774) = 1569990

LCM of 1770 and 1774

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

LCM of:
and

Least Common Multiple of 1770 and 1774

LCM of 1770 and 1774 is 1569990

Least common multiple can be found by multiplying the highest exponent prime factors of 1770 and 1774. First we will calculate the prime factors of 1770 and 1774.

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 1774


2 1774
887 887
1

Prime factors of 1774 are 2,887. Prime factorization of 1774 in exponential form is:

1774 = 21×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 1770 and 1774.

LCM(1770,1774) = 21×31×51×591×8871
LCM(1770,1774) = 1569990

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 1774

List of positive integer factors of 1774 that divides 1774 without a remainder.

1, 2, 887, 1774

Least Common Multiple of 1770 and 1774 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 1774, than apply into the LCM equation.

GCF(1770,1774) = 2
LCM(1770,1774) = ( 1770 × 1774) / 2
LCM(1770,1774) = 3139980 / 2
LCM(1770,1774) = 1569990

Properties of LCM 1770 and 1774

(i) The LCM of 1774 and 1770 is associative

LCM of 1770 and 1774 = LCM of 1774 and 1770

Related Least Common Multiples of 1770

Related Least Common Multiples of 1774

Frequently Asked Questions on LCM of 1770 and 1774

1. What is the LCM of 1770 and 1774?

Answer: LCM of 1770 and 1774 is 1569990.

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 1774?

Answer: Factors of 1774 are 1, 2, 887, 1774. There are 4 integers that are factors of 1774. The greatest factor of 1774 is 1774.

4. How to Find the LCM of 1770 and 1774?

Answer:

Least Common Multiple of 1770 and 1774 = 1569990

Step 1: Find the prime factorization of 1770

1770 = 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 1774

1774 = 2 x 887

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

LCM = 1569990 = 2 x 3 x 5 x 59 x 887

Step 4: Therefore, the least common multiple of 1770 and 1774 is 1569990.