Least Common Multiple of 1569 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 1569 and 1574 the smallest integer that is 2469606 that is divisible by both numbers.

Least Common Multiple (LCM) of 1569 and 1574 is 2469606.

LCM(1569,1574) = 2469606

LCM of 1569 and 1574

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

LCM of:
and

Least Common Multiple of 1569 and 1574

LCM of 1569 and 1574 is 2469606

Least common multiple can be found by multiplying the highest exponent prime factors of 1569 and 1574. First we will calculate the prime factors of 1569 and 1574.

Prime Factorization of 1569


3 1569
523 523
1

Prime factors of 1569 are 3,523. Prime factorization of 1569 in exponential form is:

1569 = 31×5231

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 1569 and 1574.

LCM(1569,1574) = 21×31×5231×7871
LCM(1569,1574) = 2469606

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1, 3, 523, 1569

Factors of 1574

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

1, 2, 787, 1574

Least Common Multiple of 1569 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 1569 and 1574, than apply into the LCM equation.

GCF(1569,1574) = 1
LCM(1569,1574) = ( 1569 × 1574) / 1
LCM(1569,1574) = 2469606 / 1
LCM(1569,1574) = 2469606

Properties of LCM 1569 and 1574

(i) The LCM of 1574 and 1569 is associative

LCM of 1569 and 1574 = LCM of 1574 and 1569

Related Least Common Multiples of 1569

Related Least Common Multiples of 1574

Frequently Asked Questions on LCM of 1569 and 1574

1. What is the LCM of 1569 and 1574?

Answer: LCM of 1569 and 1574 is 2469606.

2. What are the Factors of 1569?

Answer: Factors of 1569 are 1, 3, 523, 1569. There are 4 integers that are factors of 1569. The greatest factor of 1569 is 1569.

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 1569 and 1574?

Answer:

Least Common Multiple of 1569 and 1574 = 2469606

Step 1: Find the prime factorization of 1569

1569 = 3 x 523

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 = 2469606 = 2 x 3 x 523 x 787

Step 4: Therefore, the least common multiple of 1569 and 1574 is 2469606.