Least Common Multiple of 1770 and 1777

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 1777 the smallest integer that is 3145290 that is divisible by both numbers.

Least Common Multiple (LCM) of 1770 and 1777 is 3145290.

LCM(1770,1777) = 3145290

LCM of 1770 and 1777

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

LCM of:
and

Least Common Multiple of 1770 and 1777

LCM of 1770 and 1777 is 3145290

Least common multiple can be found by multiplying the highest exponent prime factors of 1770 and 1777. First we will calculate the prime factors of 1770 and 1777.

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 1777


1777 1777
1

Prime factors of 1777 are 1777. Prime factorization of 1777 in exponential form is:

1777 = 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 1770 and 1777.

LCM(1770,1777) = 21×31×51×591×17771
LCM(1770,1777) = 3145290

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 1777

List of positive integer factors of 1777 that divides 1777 without a remainder.

1, 1777

Least Common Multiple of 1770 and 1777 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 1777, than apply into the LCM equation.

GCF(1770,1777) = 1
LCM(1770,1777) = ( 1770 × 1777) / 1
LCM(1770,1777) = 3145290 / 1
LCM(1770,1777) = 3145290

Properties of LCM 1770 and 1777

(i) The LCM of 1777 and 1770 is associative

LCM of 1770 and 1777 = LCM of 1777 and 1770

Related Least Common Multiples of 1770

Related Least Common Multiples of 1777

Frequently Asked Questions on LCM of 1770 and 1777

1. What is the LCM of 1770 and 1777?

Answer: LCM of 1770 and 1777 is 3145290.

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 1777?

Answer: Factors of 1777 are 1, 1777. There are 2 integers that are factors of 1777. The greatest factor of 1777 is 1777.

4. How to Find the LCM of 1770 and 1777?

Answer:

Least Common Multiple of 1770 and 1777 = 3145290

Step 1: Find the prime factorization of 1770

1770 = 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 1777

1777 = 1777

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

LCM = 3145290 = 2 x 3 x 5 x 59 x 1777

Step 4: Therefore, the least common multiple of 1770 and 1777 is 3145290.