Least Common Multiple of 1557 and 1560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1557 and 1560 the smallest integer that is 809640 that is divisible by both numbers.

Least Common Multiple (LCM) of 1557 and 1560 is 809640.

LCM(1557,1560) = 809640

LCM of 1557 and 1560

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

LCM of:
and

Least Common Multiple of 1557 and 1560

LCM of 1557 and 1560 is 809640

Least common multiple can be found by multiplying the highest exponent prime factors of 1557 and 1560. First we will calculate the prime factors of 1557 and 1560.

Prime Factorization of 1557


3 1557
3 519
173 173
1

Prime factors of 1557 are 3,173. Prime factorization of 1557 in exponential form is:

1557 = 32×1731

Prime Factorization of 1560


2 1560
2 780
2 390
3 195
5 65
13 13
1

Prime factors of 1560 are 2, 3, 5,13. Prime factorization of 1560 in exponential form is:

1560 = 23×31×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1557 and 1560.

LCM(1557,1560) = 23×32×51×131×1731
LCM(1557,1560) = 809640

Factors of 1557

List of positive integer factors of 1557 that divides 1557 without a remainder.

1, 3, 9, 173, 519, 1557

Factors of 1560

List of positive integer factors of 1560 that divides 1560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560

Least Common Multiple of 1557 and 1560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1557 and 1560, than apply into the LCM equation.

GCF(1557,1560) = 3
LCM(1557,1560) = ( 1557 × 1560) / 3
LCM(1557,1560) = 2428920 / 3
LCM(1557,1560) = 809640

Properties of LCM 1557 and 1560

(i) The LCM of 1560 and 1557 is associative

LCM of 1557 and 1560 = LCM of 1560 and 1557

Related Least Common Multiples of 1557

Related Least Common Multiples of 1560

Frequently Asked Questions on LCM of 1557 and 1560

1. What is the LCM of 1557 and 1560?

Answer: LCM of 1557 and 1560 is 809640.

2. What are the Factors of 1557?

Answer: Factors of 1557 are 1, 3, 9, 173, 519, 1557. There are 6 integers that are factors of 1557. The greatest factor of 1557 is 1557.

3. What are the Factors of 1560?

Answer: Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. There are 32 integers that are factors of 1560. The greatest factor of 1560 is 1560.

4. How to Find the LCM of 1557 and 1560?

Answer:

Least Common Multiple of 1557 and 1560 = 809640

Step 1: Find the prime factorization of 1557

1557 = 3 x 3 x 173

Step 2: Find the prime factorization of 1560

1560 = 2 x 2 x 2 x 3 x 5 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 = 809640 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 173

Step 4: Therefore, the least common multiple of 1557 and 1560 is 809640.