Least Common Multiple of 1575 and 1576

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 1576 the smallest integer that is 2482200 that is divisible by both numbers.

Least Common Multiple (LCM) of 1575 and 1576 is 2482200.

LCM(1575,1576) = 2482200

LCM of 1575 and 1576

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

LCM of:
and

Least Common Multiple of 1575 and 1576

LCM of 1575 and 1576 is 2482200

Least common multiple can be found by multiplying the highest exponent prime factors of 1575 and 1576. First we will calculate the prime factors of 1575 and 1576.

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 1576


2 1576
2 788
2 394
197 197
1

Prime factors of 1576 are 2,197. Prime factorization of 1576 in exponential form is:

1576 = 23×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 1575 and 1576.

LCM(1575,1576) = 23×32×52×71×1971
LCM(1575,1576) = 2482200

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 1576

List of positive integer factors of 1576 that divides 1576 without a remainder.

1, 2, 4, 8, 197, 394, 788, 1576

Least Common Multiple of 1575 and 1576 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 1576, than apply into the LCM equation.

GCF(1575,1576) = 1
LCM(1575,1576) = ( 1575 × 1576) / 1
LCM(1575,1576) = 2482200 / 1
LCM(1575,1576) = 2482200

Properties of LCM 1575 and 1576

(i) The LCM of 1576 and 1575 is associative

LCM of 1575 and 1576 = LCM of 1576 and 1575

Related Least Common Multiples of 1575

Related Least Common Multiples of 1576

Frequently Asked Questions on LCM of 1575 and 1576

1. What is the LCM of 1575 and 1576?

Answer: LCM of 1575 and 1576 is 2482200.

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 1576?

Answer: Factors of 1576 are 1, 2, 4, 8, 197, 394, 788, 1576. There are 8 integers that are factors of 1576. The greatest factor of 1576 is 1576.

4. How to Find the LCM of 1575 and 1576?

Answer:

Least Common Multiple of 1575 and 1576 = 2482200

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 1576

1576 = 2 x 2 x 2 x 197

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

LCM = 2482200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 197

Step 4: Therefore, the least common multiple of 1575 and 1576 is 2482200.