Least Common Multiple of 1578 and 1582

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 1582 the smallest integer that is 1248198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1578 and 1582 is 1248198.

LCM(1578,1582) = 1248198

LCM of 1578 and 1582

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

LCM of:
and

Least Common Multiple of 1578 and 1582

LCM of 1578 and 1582 is 1248198

Least common multiple can be found by multiplying the highest exponent prime factors of 1578 and 1582. First we will calculate the prime factors of 1578 and 1582.

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 1582


2 1582
7 791
113 113
1

Prime factors of 1582 are 2, 7,113. Prime factorization of 1582 in exponential form is:

1582 = 21×71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1578 and 1582.

LCM(1578,1582) = 21×31×71×1131×2631
LCM(1578,1582) = 1248198

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 1582

List of positive integer factors of 1582 that divides 1582 without a remainder.

1, 2, 7, 14, 113, 226, 791, 1582

Least Common Multiple of 1578 and 1582 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 1582, than apply into the LCM equation.

GCF(1578,1582) = 2
LCM(1578,1582) = ( 1578 × 1582) / 2
LCM(1578,1582) = 2496396 / 2
LCM(1578,1582) = 1248198

Properties of LCM 1578 and 1582

(i) The LCM of 1582 and 1578 is associative

LCM of 1578 and 1582 = LCM of 1582 and 1578

Related Least Common Multiples of 1578

Related Least Common Multiples of 1582

Frequently Asked Questions on LCM of 1578 and 1582

1. What is the LCM of 1578 and 1582?

Answer: LCM of 1578 and 1582 is 1248198.

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 1582?

Answer: Factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582. There are 8 integers that are factors of 1582. The greatest factor of 1582 is 1582.

4. How to Find the LCM of 1578 and 1582?

Answer:

Least Common Multiple of 1578 and 1582 = 1248198

Step 1: Find the prime factorization of 1578

1578 = 2 x 3 x 263

Step 2: Find the prime factorization of 1582

1582 = 2 x 7 x 113

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

LCM = 1248198 = 2 x 3 x 7 x 113 x 263

Step 4: Therefore, the least common multiple of 1578 and 1582 is 1248198.