Least Common Multiple of 1780 and 1788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1780 and 1788 the smallest integer that is 795660 that is divisible by both numbers.

Least Common Multiple (LCM) of 1780 and 1788 is 795660.

LCM(1780,1788) = 795660

LCM of 1780 and 1788

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

LCM of:
and

Least Common Multiple of 1780 and 1788

LCM of 1780 and 1788 is 795660

Least common multiple can be found by multiplying the highest exponent prime factors of 1780 and 1788. First we will calculate the prime factors of 1780 and 1788.

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

Prime Factorization of 1788


2 1788
2 894
3 447
149 149
1

Prime factors of 1788 are 2, 3,149. Prime factorization of 1788 in exponential form is:

1788 = 22×31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 1780 and 1788.

LCM(1780,1788) = 22×31×51×891×1491
LCM(1780,1788) = 795660

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

Factors of 1788

List of positive integer factors of 1788 that divides 1788 without a remainder.

1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788

Least Common Multiple of 1780 and 1788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1780 and 1788, than apply into the LCM equation.

GCF(1780,1788) = 4
LCM(1780,1788) = ( 1780 × 1788) / 4
LCM(1780,1788) = 3182640 / 4
LCM(1780,1788) = 795660

Properties of LCM 1780 and 1788

(i) The LCM of 1788 and 1780 is associative

LCM of 1780 and 1788 = LCM of 1788 and 1780

Related Least Common Multiples of 1780

Related Least Common Multiples of 1788

Frequently Asked Questions on LCM of 1780 and 1788

1. What is the LCM of 1780 and 1788?

Answer: LCM of 1780 and 1788 is 795660.

2. 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.

3. What are the Factors of 1788?

Answer: Factors of 1788 are 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788. There are 12 integers that are factors of 1788. The greatest factor of 1788 is 1788.

4. How to Find the LCM of 1780 and 1788?

Answer:

Least Common Multiple of 1780 and 1788 = 795660

Step 1: Find the prime factorization of 1780

1780 = 2 x 2 x 5 x 89

Step 2: Find the prime factorization of 1788

1788 = 2 x 2 x 3 x 149

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

LCM = 795660 = 2 x 2 x 3 x 5 x 89 x 149

Step 4: Therefore, the least common multiple of 1780 and 1788 is 795660.