Least Common Multiple of 1770 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 1770 and 1778 the smallest integer that is 1573530 that is divisible by both numbers.

Least Common Multiple (LCM) of 1770 and 1778 is 1573530.

LCM(1770,1778) = 1573530

LCM of 1770 and 1778

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

LCM of:
and

Least Common Multiple of 1770 and 1778

LCM of 1770 and 1778 is 1573530

Least common multiple can be found by multiplying the highest exponent prime factors of 1770 and 1778. First we will calculate the prime factors of 1770 and 1778.

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 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 1770 and 1778.

LCM(1770,1778) = 21×31×51×71×591×1271
LCM(1770,1778) = 1573530

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 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 1770 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 1770 and 1778, than apply into the LCM equation.

GCF(1770,1778) = 2
LCM(1770,1778) = ( 1770 × 1778) / 2
LCM(1770,1778) = 3147060 / 2
LCM(1770,1778) = 1573530

Properties of LCM 1770 and 1778

(i) The LCM of 1778 and 1770 is associative

LCM of 1770 and 1778 = LCM of 1778 and 1770

Related Least Common Multiples of 1770

Related Least Common Multiples of 1778

Frequently Asked Questions on LCM of 1770 and 1778

1. What is the LCM of 1770 and 1778?

Answer: LCM of 1770 and 1778 is 1573530.

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 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 1770 and 1778?

Answer:

Least Common Multiple of 1770 and 1778 = 1573530

Step 1: Find the prime factorization of 1770

1770 = 2 x 3 x 5 x 59

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 = 1573530 = 2 x 3 x 5 x 7 x 59 x 127

Step 4: Therefore, the least common multiple of 1770 and 1778 is 1573530.