Least Common Multiple of 1545 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 1545 and 1551 the smallest integer that is 798765 that is divisible by both numbers.

Least Common Multiple (LCM) of 1545 and 1551 is 798765.

LCM(1545,1551) = 798765

LCM of 1545 and 1551

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

LCM of:
and

Least Common Multiple of 1545 and 1551

LCM of 1545 and 1551 is 798765

Least common multiple can be found by multiplying the highest exponent prime factors of 1545 and 1551. First we will calculate the prime factors of 1545 and 1551.

Prime Factorization of 1545


3 1545
5 515
103 103
1

Prime factors of 1545 are 3, 5,103. Prime factorization of 1545 in exponential form is:

1545 = 31×51×1031

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 1545 and 1551.

LCM(1545,1551) = 31×51×111×471×1031
LCM(1545,1551) = 798765

Factors of 1545

List of positive integer factors of 1545 that divides 1545 without a remainder.

1, 3, 5, 15, 103, 309, 515, 1545

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 1545 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 1545 and 1551, than apply into the LCM equation.

GCF(1545,1551) = 3
LCM(1545,1551) = ( 1545 × 1551) / 3
LCM(1545,1551) = 2396295 / 3
LCM(1545,1551) = 798765

Properties of LCM 1545 and 1551

(i) The LCM of 1551 and 1545 is associative

LCM of 1545 and 1551 = LCM of 1551 and 1545

Related Least Common Multiples of 1545

Related Least Common Multiples of 1551

Frequently Asked Questions on LCM of 1545 and 1551

1. What is the LCM of 1545 and 1551?

Answer: LCM of 1545 and 1551 is 798765.

2. What are the Factors of 1545?

Answer: Factors of 1545 are 1, 3, 5, 15, 103, 309, 515, 1545. There are 8 integers that are factors of 1545. The greatest factor of 1545 is 1545.

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 1545 and 1551?

Answer:

Least Common Multiple of 1545 and 1551 = 798765

Step 1: Find the prime factorization of 1545

1545 = 3 x 5 x 103

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 = 798765 = 3 x 5 x 11 x 47 x 103

Step 4: Therefore, the least common multiple of 1545 and 1551 is 798765.