Least Common Multiple of 1770 and 1772

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 1772 the smallest integer that is 1568220 that is divisible by both numbers.

Least Common Multiple (LCM) of 1770 and 1772 is 1568220.

LCM(1770,1772) = 1568220

LCM of 1770 and 1772

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

LCM of:
and

Least Common Multiple of 1770 and 1772

LCM of 1770 and 1772 is 1568220

Least common multiple can be found by multiplying the highest exponent prime factors of 1770 and 1772. First we will calculate the prime factors of 1770 and 1772.

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 1772


2 1772
2 886
443 443
1

Prime factors of 1772 are 2,443. Prime factorization of 1772 in exponential form is:

1772 = 22×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 1770 and 1772.

LCM(1770,1772) = 22×31×51×591×4431
LCM(1770,1772) = 1568220

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 1772

List of positive integer factors of 1772 that divides 1772 without a remainder.

1, 2, 4, 443, 886, 1772

Least Common Multiple of 1770 and 1772 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 1772, than apply into the LCM equation.

GCF(1770,1772) = 2
LCM(1770,1772) = ( 1770 × 1772) / 2
LCM(1770,1772) = 3136440 / 2
LCM(1770,1772) = 1568220

Properties of LCM 1770 and 1772

(i) The LCM of 1772 and 1770 is associative

LCM of 1770 and 1772 = LCM of 1772 and 1770

Related Least Common Multiples of 1770

Related Least Common Multiples of 1772

Frequently Asked Questions on LCM of 1770 and 1772

1. What is the LCM of 1770 and 1772?

Answer: LCM of 1770 and 1772 is 1568220.

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 1772?

Answer: Factors of 1772 are 1, 2, 4, 443, 886, 1772. There are 6 integers that are factors of 1772. The greatest factor of 1772 is 1772.

4. How to Find the LCM of 1770 and 1772?

Answer:

Least Common Multiple of 1770 and 1772 = 1568220

Step 1: Find the prime factorization of 1770

1770 = 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 1772

1772 = 2 x 2 x 443

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

LCM = 1568220 = 2 x 2 x 3 x 5 x 59 x 443

Step 4: Therefore, the least common multiple of 1770 and 1772 is 1568220.