Least Common Multiple of 1546 and 1554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1546 and 1554 the smallest integer that is 1201242 that is divisible by both numbers.

Least Common Multiple (LCM) of 1546 and 1554 is 1201242.

LCM(1546,1554) = 1201242

LCM of 1546 and 1554

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

LCM of:
and

Least Common Multiple of 1546 and 1554

LCM of 1546 and 1554 is 1201242

Least common multiple can be found by multiplying the highest exponent prime factors of 1546 and 1554. First we will calculate the prime factors of 1546 and 1554.

Prime Factorization of 1546


2 1546
773 773
1

Prime factors of 1546 are 2,773. Prime factorization of 1546 in exponential form is:

1546 = 21×7731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1546 and 1554.

LCM(1546,1554) = 21×31×71×371×7731
LCM(1546,1554) = 1201242

Factors of 1546

List of positive integer factors of 1546 that divides 1546 without a remainder.

1, 2, 773, 1546

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

Least Common Multiple of 1546 and 1554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1546 and 1554, than apply into the LCM equation.

GCF(1546,1554) = 2
LCM(1546,1554) = ( 1546 × 1554) / 2
LCM(1546,1554) = 2402484 / 2
LCM(1546,1554) = 1201242

Properties of LCM 1546 and 1554

(i) The LCM of 1554 and 1546 is associative

LCM of 1546 and 1554 = LCM of 1554 and 1546

Related Least Common Multiples of 1546

Related Least Common Multiples of 1554

Frequently Asked Questions on LCM of 1546 and 1554

1. What is the LCM of 1546 and 1554?

Answer: LCM of 1546 and 1554 is 1201242.

2. What are the Factors of 1546?

Answer: Factors of 1546 are 1, 2, 773, 1546. There are 4 integers that are factors of 1546. The greatest factor of 1546 is 1546.

3. 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.

4. How to Find the LCM of 1546 and 1554?

Answer:

Least Common Multiple of 1546 and 1554 = 1201242

Step 1: Find the prime factorization of 1546

1546 = 2 x 773

Step 2: Find the prime factorization of 1554

1554 = 2 x 3 x 7 x 37

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

LCM = 1201242 = 2 x 3 x 7 x 37 x 773

Step 4: Therefore, the least common multiple of 1546 and 1554 is 1201242.