Least Common Multiple of 1575 and 1578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1575 and 1578 the smallest integer that is 828450 that is divisible by both numbers.

Least Common Multiple (LCM) of 1575 and 1578 is 828450.

LCM(1575,1578) = 828450

LCM of 1575 and 1578

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

LCM of:
and

Least Common Multiple of 1575 and 1578

LCM of 1575 and 1578 is 828450

Least common multiple can be found by multiplying the highest exponent prime factors of 1575 and 1578. First we will calculate the prime factors of 1575 and 1578.

Prime Factorization of 1575


3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 1575 are 3, 5,7. Prime factorization of 1575 in exponential form is:

1575 = 32×52×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1575 and 1578.

LCM(1575,1578) = 21×32×52×71×2631
LCM(1575,1578) = 828450

Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575

Factors of 1578

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

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

Least Common Multiple of 1575 and 1578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1575 and 1578, than apply into the LCM equation.

GCF(1575,1578) = 3
LCM(1575,1578) = ( 1575 × 1578) / 3
LCM(1575,1578) = 2485350 / 3
LCM(1575,1578) = 828450

Properties of LCM 1575 and 1578

(i) The LCM of 1578 and 1575 is associative

LCM of 1575 and 1578 = LCM of 1578 and 1575

Related Least Common Multiples of 1575

Related Least Common Multiples of 1578

Frequently Asked Questions on LCM of 1575 and 1578

1. What is the LCM of 1575 and 1578?

Answer: LCM of 1575 and 1578 is 828450.

2. What are the Factors of 1575?

Answer: Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. There are 18 integers that are factors of 1575. The greatest factor of 1575 is 1575.

3. 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.

4. How to Find the LCM of 1575 and 1578?

Answer:

Least Common Multiple of 1575 and 1578 = 828450

Step 1: Find the prime factorization of 1575

1575 = 3 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 1578

1578 = 2 x 3 x 263

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

LCM = 828450 = 2 x 3 x 3 x 5 x 5 x 7 x 263

Step 4: Therefore, the least common multiple of 1575 and 1578 is 828450.