Least Common Multiple of 1555 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 1555 and 1560 the smallest integer that is 485160 that is divisible by both numbers.

Least Common Multiple (LCM) of 1555 and 1560 is 485160.

LCM(1555,1560) = 485160

LCM of 1555 and 1560

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

LCM of:
and

Least Common Multiple of 1555 and 1560

LCM of 1555 and 1560 is 485160

Least common multiple can be found by multiplying the highest exponent prime factors of 1555 and 1560. First we will calculate the prime factors of 1555 and 1560.

Prime Factorization of 1555


5 1555
311 311
1

Prime factors of 1555 are 5,311. Prime factorization of 1555 in exponential form is:

1555 = 51×3111

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 1555 and 1560.

LCM(1555,1560) = 23×31×51×131×3111
LCM(1555,1560) = 485160

Factors of 1555

List of positive integer factors of 1555 that divides 1555 without a remainder.

1, 5, 311, 1555

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 1555 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 1555 and 1560, than apply into the LCM equation.

GCF(1555,1560) = 5
LCM(1555,1560) = ( 1555 × 1560) / 5
LCM(1555,1560) = 2425800 / 5
LCM(1555,1560) = 485160

Properties of LCM 1555 and 1560

(i) The LCM of 1560 and 1555 is associative

LCM of 1555 and 1560 = LCM of 1560 and 1555

Related Least Common Multiples of 1555

Related Least Common Multiples of 1560

Frequently Asked Questions on LCM of 1555 and 1560

1. What is the LCM of 1555 and 1560?

Answer: LCM of 1555 and 1560 is 485160.

2. What are the Factors of 1555?

Answer: Factors of 1555 are 1, 5, 311, 1555. There are 4 integers that are factors of 1555. The greatest factor of 1555 is 1555.

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 1555 and 1560?

Answer:

Least Common Multiple of 1555 and 1560 = 485160

Step 1: Find the prime factorization of 1555

1555 = 5 x 311

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 = 485160 = 2 x 2 x 2 x 3 x 5 x 13 x 311

Step 4: Therefore, the least common multiple of 1555 and 1560 is 485160.