Least Common Multiple of 1772 and 1780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1772 and 1780 the smallest integer that is 788540 that is divisible by both numbers.

Least Common Multiple (LCM) of 1772 and 1780 is 788540.

LCM(1772,1780) = 788540

LCM of 1772 and 1780

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

LCM of:
and

Least Common Multiple of 1772 and 1780

LCM of 1772 and 1780 is 788540

Least common multiple can be found by multiplying the highest exponent prime factors of 1772 and 1780. First we will calculate the prime factors of 1772 and 1780.

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

Prime Factorization of 1780


2 1780
2 890
5 445
89 89
1

Prime factors of 1780 are 2, 5,89. Prime factorization of 1780 in exponential form is:

1780 = 22×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1772 and 1780.

LCM(1772,1780) = 22×51×891×4431
LCM(1772,1780) = 788540

Factors of 1772

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

1, 2, 4, 443, 886, 1772

Factors of 1780

List of positive integer factors of 1780 that divides 1780 without a remainder.

1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890, 1780

Least Common Multiple of 1772 and 1780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1772 and 1780, than apply into the LCM equation.

GCF(1772,1780) = 4
LCM(1772,1780) = ( 1772 × 1780) / 4
LCM(1772,1780) = 3154160 / 4
LCM(1772,1780) = 788540

Properties of LCM 1772 and 1780

(i) The LCM of 1780 and 1772 is associative

LCM of 1772 and 1780 = LCM of 1780 and 1772

Related Least Common Multiples of 1772

Related Least Common Multiples of 1780

Frequently Asked Questions on LCM of 1772 and 1780

1. What is the LCM of 1772 and 1780?

Answer: LCM of 1772 and 1780 is 788540.

2. 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.

3. What are the Factors of 1780?

Answer: Factors of 1780 are 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890, 1780. There are 12 integers that are factors of 1780. The greatest factor of 1780 is 1780.

4. How to Find the LCM of 1772 and 1780?

Answer:

Least Common Multiple of 1772 and 1780 = 788540

Step 1: Find the prime factorization of 1772

1772 = 2 x 2 x 443

Step 2: Find the prime factorization of 1780

1780 = 2 x 2 x 5 x 89

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

LCM = 788540 = 2 x 2 x 5 x 89 x 443

Step 4: Therefore, the least common multiple of 1772 and 1780 is 788540.