Least Common Multiple of 1570 and 1573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1570 and 1573 the smallest integer that is 2469610 that is divisible by both numbers.

Least Common Multiple (LCM) of 1570 and 1573 is 2469610.

LCM(1570,1573) = 2469610

LCM of 1570 and 1573

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

LCM of:
and

Least Common Multiple of 1570 and 1573

LCM of 1570 and 1573 is 2469610

Least common multiple can be found by multiplying the highest exponent prime factors of 1570 and 1573. First we will calculate the prime factors of 1570 and 1573.

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

Prime Factorization of 1573


11 1573
11 143
13 13
1

Prime factors of 1573 are 11,13. Prime factorization of 1573 in exponential form is:

1573 = 112×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1570 and 1573.

LCM(1570,1573) = 21×51×112×131×1571
LCM(1570,1573) = 2469610

Factors of 1570

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

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

Factors of 1573

List of positive integer factors of 1573 that divides 1573 without a remainder.

1, 11, 13, 121, 143, 1573

Least Common Multiple of 1570 and 1573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1570 and 1573, than apply into the LCM equation.

GCF(1570,1573) = 1
LCM(1570,1573) = ( 1570 × 1573) / 1
LCM(1570,1573) = 2469610 / 1
LCM(1570,1573) = 2469610

Properties of LCM 1570 and 1573

(i) The LCM of 1573 and 1570 is associative

LCM of 1570 and 1573 = LCM of 1573 and 1570

Related Least Common Multiples of 1570

Related Least Common Multiples of 1573

Frequently Asked Questions on LCM of 1570 and 1573

1. What is the LCM of 1570 and 1573?

Answer: LCM of 1570 and 1573 is 2469610.

2. 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.

3. What are the Factors of 1573?

Answer: Factors of 1573 are 1, 11, 13, 121, 143, 1573. There are 6 integers that are factors of 1573. The greatest factor of 1573 is 1573.

4. How to Find the LCM of 1570 and 1573?

Answer:

Least Common Multiple of 1570 and 1573 = 2469610

Step 1: Find the prime factorization of 1570

1570 = 2 x 5 x 157

Step 2: Find the prime factorization of 1573

1573 = 11 x 11 x 13

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

LCM = 2469610 = 2 x 5 x 11 x 11 x 13 x 157

Step 4: Therefore, the least common multiple of 1570 and 1573 is 2469610.