Least Common Multiple of 1578 and 1580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1578 and 1580 the smallest integer that is 1246620 that is divisible by both numbers.

Least Common Multiple (LCM) of 1578 and 1580 is 1246620.

LCM(1578,1580) = 1246620

LCM of 1578 and 1580

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

LCM of:
and

Least Common Multiple of 1578 and 1580

LCM of 1578 and 1580 is 1246620

Least common multiple can be found by multiplying the highest exponent prime factors of 1578 and 1580. First we will calculate the prime factors of 1578 and 1580.

Prime Factorization of 1578


2 1578
3 789
263 263
1

Prime factors of 1578 are 2, 3,263. Prime factorization of 1578 in exponential form is:

1578 = 21×31×2631

Prime Factorization of 1580


2 1580
2 790
5 395
79 79
1

Prime factors of 1580 are 2, 5,79. Prime factorization of 1580 in exponential form is:

1580 = 22×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1578 and 1580.

LCM(1578,1580) = 22×31×51×791×2631
LCM(1578,1580) = 1246620

Factors of 1578

List of positive integer factors of 1578 that divides 1578 without a remainder.

1, 2, 3, 6, 263, 526, 789, 1578

Factors of 1580

List of positive integer factors of 1580 that divides 1580 without a remainder.

1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580

Least Common Multiple of 1578 and 1580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1578 and 1580, than apply into the LCM equation.

GCF(1578,1580) = 2
LCM(1578,1580) = ( 1578 × 1580) / 2
LCM(1578,1580) = 2493240 / 2
LCM(1578,1580) = 1246620

Properties of LCM 1578 and 1580

(i) The LCM of 1580 and 1578 is associative

LCM of 1578 and 1580 = LCM of 1580 and 1578

Related Least Common Multiples of 1578

Related Least Common Multiples of 1580

Frequently Asked Questions on LCM of 1578 and 1580

1. What is the LCM of 1578 and 1580?

Answer: LCM of 1578 and 1580 is 1246620.

2. What are the Factors of 1578?

Answer: Factors of 1578 are 1, 2, 3, 6, 263, 526, 789, 1578. There are 8 integers that are factors of 1578. The greatest factor of 1578 is 1578.

3. What are the Factors of 1580?

Answer: Factors of 1580 are 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580. There are 12 integers that are factors of 1580. The greatest factor of 1580 is 1580.

4. How to Find the LCM of 1578 and 1580?

Answer:

Least Common Multiple of 1578 and 1580 = 1246620

Step 1: Find the prime factorization of 1578

1578 = 2 x 3 x 263

Step 2: Find the prime factorization of 1580

1580 = 2 x 2 x 5 x 79

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

LCM = 1246620 = 2 x 2 x 3 x 5 x 79 x 263

Step 4: Therefore, the least common multiple of 1578 and 1580 is 1246620.