Least Common Multiple of 1565 and 1570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1565 and 1570 the smallest integer that is 491410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1565 and 1570 is 491410.

LCM(1565,1570) = 491410

LCM of 1565 and 1570

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

LCM of:
and

Least Common Multiple of 1565 and 1570

LCM of 1565 and 1570 is 491410

Least common multiple can be found by multiplying the highest exponent prime factors of 1565 and 1570. First we will calculate the prime factors of 1565 and 1570.

Prime Factorization of 1565


5 1565
313 313
1

Prime factors of 1565 are 5,313. Prime factorization of 1565 in exponential form is:

1565 = 51×3131

Prime Factorization of 1570


2 1570
5 785
157 157
1

Prime factors of 1570 are 2, 5,157. Prime factorization of 1570 in exponential form is:

1570 = 21×51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1565 and 1570.

LCM(1565,1570) = 21×51×1571×3131
LCM(1565,1570) = 491410

Factors of 1565

List of positive integer factors of 1565 that divides 1565 without a remainder.

1, 5, 313, 1565

Factors of 1570

List of positive integer factors of 1570 that divides 1570 without a remainder.

1, 2, 5, 10, 157, 314, 785, 1570

Least Common Multiple of 1565 and 1570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1565 and 1570, than apply into the LCM equation.

GCF(1565,1570) = 5
LCM(1565,1570) = ( 1565 × 1570) / 5
LCM(1565,1570) = 2457050 / 5
LCM(1565,1570) = 491410

Properties of LCM 1565 and 1570

(i) The LCM of 1570 and 1565 is associative

LCM of 1565 and 1570 = LCM of 1570 and 1565

Related Least Common Multiples of 1565

Related Least Common Multiples of 1570

Frequently Asked Questions on LCM of 1565 and 1570

1. What is the LCM of 1565 and 1570?

Answer: LCM of 1565 and 1570 is 491410.

2. What are the Factors of 1565?

Answer: Factors of 1565 are 1, 5, 313, 1565. There are 4 integers that are factors of 1565. The greatest factor of 1565 is 1565.

3. What are the Factors of 1570?

Answer: Factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570. There are 8 integers that are factors of 1570. The greatest factor of 1570 is 1570.

4. How to Find the LCM of 1565 and 1570?

Answer:

Least Common Multiple of 1565 and 1570 = 491410

Step 1: Find the prime factorization of 1565

1565 = 5 x 313

Step 2: Find the prime factorization of 1570

1570 = 2 x 5 x 157

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

LCM = 491410 = 2 x 5 x 157 x 313

Step 4: Therefore, the least common multiple of 1565 and 1570 is 491410.