Least Common Multiple of 1546 and 1551

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 1551 the smallest integer that is 2397846 that is divisible by both numbers.

Least Common Multiple (LCM) of 1546 and 1551 is 2397846.

LCM(1546,1551) = 2397846

LCM of 1546 and 1551

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

LCM of:
and

Least Common Multiple of 1546 and 1551

LCM of 1546 and 1551 is 2397846

Least common multiple can be found by multiplying the highest exponent prime factors of 1546 and 1551. First we will calculate the prime factors of 1546 and 1551.

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 1551


3 1551
11 517
47 47
1

Prime factors of 1551 are 3, 11,47. Prime factorization of 1551 in exponential form is:

1551 = 31×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1546 and 1551.

LCM(1546,1551) = 21×31×111×471×7731
LCM(1546,1551) = 2397846

Factors of 1546

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

1, 2, 773, 1546

Factors of 1551

List of positive integer factors of 1551 that divides 1551 without a remainder.

1, 3, 11, 33, 47, 141, 517, 1551

Least Common Multiple of 1546 and 1551 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 1551, than apply into the LCM equation.

GCF(1546,1551) = 1
LCM(1546,1551) = ( 1546 × 1551) / 1
LCM(1546,1551) = 2397846 / 1
LCM(1546,1551) = 2397846

Properties of LCM 1546 and 1551

(i) The LCM of 1551 and 1546 is associative

LCM of 1546 and 1551 = LCM of 1551 and 1546

Related Least Common Multiples of 1546

Related Least Common Multiples of 1551

Frequently Asked Questions on LCM of 1546 and 1551

1. What is the LCM of 1546 and 1551?

Answer: LCM of 1546 and 1551 is 2397846.

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 1551?

Answer: Factors of 1551 are 1, 3, 11, 33, 47, 141, 517, 1551. There are 8 integers that are factors of 1551. The greatest factor of 1551 is 1551.

4. How to Find the LCM of 1546 and 1551?

Answer:

Least Common Multiple of 1546 and 1551 = 2397846

Step 1: Find the prime factorization of 1546

1546 = 2 x 773

Step 2: Find the prime factorization of 1551

1551 = 3 x 11 x 47

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

LCM = 2397846 = 2 x 3 x 11 x 47 x 773

Step 4: Therefore, the least common multiple of 1546 and 1551 is 2397846.