Least Common Multiple of 1573 and 1574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1573 and 1574 the smallest integer that is 2475902 that is divisible by both numbers.

Least Common Multiple (LCM) of 1573 and 1574 is 2475902.

LCM(1573,1574) = 2475902

LCM of 1573 and 1574

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

LCM of:
and

Least Common Multiple of 1573 and 1574

LCM of 1573 and 1574 is 2475902

Least common multiple can be found by multiplying the highest exponent prime factors of 1573 and 1574. First we will calculate the prime factors of 1573 and 1574.

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

Prime Factorization of 1574


2 1574
787 787
1

Prime factors of 1574 are 2,787. Prime factorization of 1574 in exponential form is:

1574 = 21×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 1573 and 1574.

LCM(1573,1574) = 21×112×131×7871
LCM(1573,1574) = 2475902

Factors of 1573

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

1, 11, 13, 121, 143, 1573

Factors of 1574

List of positive integer factors of 1574 that divides 1574 without a remainder.

1, 2, 787, 1574

Least Common Multiple of 1573 and 1574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1573 and 1574, than apply into the LCM equation.

GCF(1573,1574) = 1
LCM(1573,1574) = ( 1573 × 1574) / 1
LCM(1573,1574) = 2475902 / 1
LCM(1573,1574) = 2475902

Properties of LCM 1573 and 1574

(i) The LCM of 1574 and 1573 is associative

LCM of 1573 and 1574 = LCM of 1574 and 1573

Related Least Common Multiples of 1573

Related Least Common Multiples of 1574

Frequently Asked Questions on LCM of 1573 and 1574

1. What is the LCM of 1573 and 1574?

Answer: LCM of 1573 and 1574 is 2475902.

2. 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.

3. What are the Factors of 1574?

Answer: Factors of 1574 are 1, 2, 787, 1574. There are 4 integers that are factors of 1574. The greatest factor of 1574 is 1574.

4. How to Find the LCM of 1573 and 1574?

Answer:

Least Common Multiple of 1573 and 1574 = 2475902

Step 1: Find the prime factorization of 1573

1573 = 11 x 11 x 13

Step 2: Find the prime factorization of 1574

1574 = 2 x 787

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

LCM = 2475902 = 2 x 11 x 11 x 13 x 787

Step 4: Therefore, the least common multiple of 1573 and 1574 is 2475902.