Least Common Multiple of 1554 and 1561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1554 and 1561 the smallest integer that is 346542 that is divisible by both numbers.

Least Common Multiple (LCM) of 1554 and 1561 is 346542.

LCM(1554,1561) = 346542

LCM of 1554 and 1561

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

LCM of:
and

Least Common Multiple of 1554 and 1561

LCM of 1554 and 1561 is 346542

Least common multiple can be found by multiplying the highest exponent prime factors of 1554 and 1561. First we will calculate the prime factors of 1554 and 1561.

Prime Factorization of 1554


2 1554
3 777
7 259
37 37
1

Prime factors of 1554 are 2, 3, 7,37. Prime factorization of 1554 in exponential form is:

1554 = 21×31×71×371

Prime Factorization of 1561


7 1561
223 223
1

Prime factors of 1561 are 7,223. Prime factorization of 1561 in exponential form is:

1561 = 71×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 1554 and 1561.

LCM(1554,1561) = 21×31×71×371×2231
LCM(1554,1561) = 346542

Factors of 1554

List of positive integer factors of 1554 that divides 1554 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 74, 111, 222, 259, 518, 777, 1554

Factors of 1561

List of positive integer factors of 1561 that divides 1561 without a remainder.

1, 7, 223, 1561

Least Common Multiple of 1554 and 1561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1554 and 1561, than apply into the LCM equation.

GCF(1554,1561) = 7
LCM(1554,1561) = ( 1554 × 1561) / 7
LCM(1554,1561) = 2425794 / 7
LCM(1554,1561) = 346542

Properties of LCM 1554 and 1561

(i) The LCM of 1561 and 1554 is associative

LCM of 1554 and 1561 = LCM of 1561 and 1554

Related Least Common Multiples of 1554

Related Least Common Multiples of 1561

Frequently Asked Questions on LCM of 1554 and 1561

1. What is the LCM of 1554 and 1561?

Answer: LCM of 1554 and 1561 is 346542.

2. What are the Factors of 1554?

Answer: Factors of 1554 are 1, 2, 3, 6, 7, 14, 21, 37, 42, 74, 111, 222, 259, 518, 777, 1554. There are 16 integers that are factors of 1554. The greatest factor of 1554 is 1554.

3. What are the Factors of 1561?

Answer: Factors of 1561 are 1, 7, 223, 1561. There are 4 integers that are factors of 1561. The greatest factor of 1561 is 1561.

4. How to Find the LCM of 1554 and 1561?

Answer:

Least Common Multiple of 1554 and 1561 = 346542

Step 1: Find the prime factorization of 1554

1554 = 2 x 3 x 7 x 37

Step 2: Find the prime factorization of 1561

1561 = 7 x 223

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

LCM = 346542 = 2 x 3 x 7 x 37 x 223

Step 4: Therefore, the least common multiple of 1554 and 1561 is 346542.