Least Common Multiple of 1567 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 1567 and 1574 the smallest integer that is 2466458 that is divisible by both numbers.

Least Common Multiple (LCM) of 1567 and 1574 is 2466458.

LCM(1567,1574) = 2466458

LCM of 1567 and 1574

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

LCM of:
and

Least Common Multiple of 1567 and 1574

LCM of 1567 and 1574 is 2466458

Least common multiple can be found by multiplying the highest exponent prime factors of 1567 and 1574. First we will calculate the prime factors of 1567 and 1574.

Prime Factorization of 1567


1567 1567
1

Prime factors of 1567 are 1567. Prime factorization of 1567 in exponential form is:

1567 = 15671

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 1567 and 1574.

LCM(1567,1574) = 21×7871×15671
LCM(1567,1574) = 2466458

Factors of 1567

List of positive integer factors of 1567 that divides 1567 without a remainder.

1, 1567

Factors of 1574

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

1, 2, 787, 1574

Least Common Multiple of 1567 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 1567 and 1574, than apply into the LCM equation.

GCF(1567,1574) = 1
LCM(1567,1574) = ( 1567 × 1574) / 1
LCM(1567,1574) = 2466458 / 1
LCM(1567,1574) = 2466458

Properties of LCM 1567 and 1574

(i) The LCM of 1574 and 1567 is associative

LCM of 1567 and 1574 = LCM of 1574 and 1567

Related Least Common Multiples of 1567

Related Least Common Multiples of 1574

Frequently Asked Questions on LCM of 1567 and 1574

1. What is the LCM of 1567 and 1574?

Answer: LCM of 1567 and 1574 is 2466458.

2. What are the Factors of 1567?

Answer: Factors of 1567 are 1, 1567. There are 2 integers that are factors of 1567. The greatest factor of 1567 is 1567.

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 1567 and 1574?

Answer:

Least Common Multiple of 1567 and 1574 = 2466458

Step 1: Find the prime factorization of 1567

1567 = 1567

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 = 2466458 = 2 x 787 x 1567

Step 4: Therefore, the least common multiple of 1567 and 1574 is 2466458.