Least Common Multiple of 1541 and 1545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1541 and 1545 the smallest integer that is 2380845 that is divisible by both numbers.

Least Common Multiple (LCM) of 1541 and 1545 is 2380845.

LCM(1541,1545) = 2380845

LCM of 1541 and 1545

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

LCM of:
and

Least Common Multiple of 1541 and 1545

LCM of 1541 and 1545 is 2380845

Least common multiple can be found by multiplying the highest exponent prime factors of 1541 and 1545. First we will calculate the prime factors of 1541 and 1545.

Prime Factorization of 1541


23 1541
67 67
1

Prime factors of 1541 are 23,67. Prime factorization of 1541 in exponential form is:

1541 = 231×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1541 and 1545.

LCM(1541,1545) = 31×51×231×671×1031
LCM(1541,1545) = 2380845

Factors of 1541

List of positive integer factors of 1541 that divides 1541 without a remainder.

1, 23, 67, 1541

Factors of 1545

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

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

Least Common Multiple of 1541 and 1545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1541 and 1545, than apply into the LCM equation.

GCF(1541,1545) = 1
LCM(1541,1545) = ( 1541 × 1545) / 1
LCM(1541,1545) = 2380845 / 1
LCM(1541,1545) = 2380845

Properties of LCM 1541 and 1545

(i) The LCM of 1545 and 1541 is associative

LCM of 1541 and 1545 = LCM of 1545 and 1541

Related Least Common Multiples of 1541

Related Least Common Multiples of 1545

Frequently Asked Questions on LCM of 1541 and 1545

1. What is the LCM of 1541 and 1545?

Answer: LCM of 1541 and 1545 is 2380845.

2. What are the Factors of 1541?

Answer: Factors of 1541 are 1, 23, 67, 1541. There are 4 integers that are factors of 1541. The greatest factor of 1541 is 1541.

3. 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.

4. How to Find the LCM of 1541 and 1545?

Answer:

Least Common Multiple of 1541 and 1545 = 2380845

Step 1: Find the prime factorization of 1541

1541 = 23 x 67

Step 2: Find the prime factorization of 1545

1545 = 3 x 5 x 103

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

LCM = 2380845 = 3 x 5 x 23 x 67 x 103

Step 4: Therefore, the least common multiple of 1541 and 1545 is 2380845.