Least Common Multiple of 1567 and 1572

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 1572 the smallest integer that is 2463324 that is divisible by both numbers.

Least Common Multiple (LCM) of 1567 and 1572 is 2463324.

LCM(1567,1572) = 2463324

LCM of 1567 and 1572

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

LCM of:
and

Least Common Multiple of 1567 and 1572

LCM of 1567 and 1572 is 2463324

Least common multiple can be found by multiplying the highest exponent prime factors of 1567 and 1572. First we will calculate the prime factors of 1567 and 1572.

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 1572


2 1572
2 786
3 393
131 131
1

Prime factors of 1572 are 2, 3,131. Prime factorization of 1572 in exponential form is:

1572 = 22×31×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1567 and 1572.

LCM(1567,1572) = 22×31×1311×15671
LCM(1567,1572) = 2463324

Factors of 1567

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

1, 1567

Factors of 1572

List of positive integer factors of 1572 that divides 1572 without a remainder.

1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572

Least Common Multiple of 1567 and 1572 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 1572, than apply into the LCM equation.

GCF(1567,1572) = 1
LCM(1567,1572) = ( 1567 × 1572) / 1
LCM(1567,1572) = 2463324 / 1
LCM(1567,1572) = 2463324

Properties of LCM 1567 and 1572

(i) The LCM of 1572 and 1567 is associative

LCM of 1567 and 1572 = LCM of 1572 and 1567

Related Least Common Multiples of 1567

Related Least Common Multiples of 1572

Frequently Asked Questions on LCM of 1567 and 1572

1. What is the LCM of 1567 and 1572?

Answer: LCM of 1567 and 1572 is 2463324.

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 1572?

Answer: Factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572. There are 12 integers that are factors of 1572. The greatest factor of 1572 is 1572.

4. How to Find the LCM of 1567 and 1572?

Answer:

Least Common Multiple of 1567 and 1572 = 2463324

Step 1: Find the prime factorization of 1567

1567 = 1567

Step 2: Find the prime factorization of 1572

1572 = 2 x 2 x 3 x 131

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

LCM = 2463324 = 2 x 2 x 3 x 131 x 1567

Step 4: Therefore, the least common multiple of 1567 and 1572 is 2463324.