Least Common Multiple of 1541 and 1548

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 1548 the smallest integer that is 2385468 that is divisible by both numbers.

Least Common Multiple (LCM) of 1541 and 1548 is 2385468.

LCM(1541,1548) = 2385468

LCM of 1541 and 1548

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

LCM of:
and

Least Common Multiple of 1541 and 1548

LCM of 1541 and 1548 is 2385468

Least common multiple can be found by multiplying the highest exponent prime factors of 1541 and 1548. First we will calculate the prime factors of 1541 and 1548.

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 1548


2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 1548 are 2, 3,43. Prime factorization of 1548 in exponential form is:

1548 = 22×32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1541 and 1548.

LCM(1541,1548) = 22×32×231×431×671
LCM(1541,1548) = 2385468

Factors of 1541

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

1, 23, 67, 1541

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548

Least Common Multiple of 1541 and 1548 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 1548, than apply into the LCM equation.

GCF(1541,1548) = 1
LCM(1541,1548) = ( 1541 × 1548) / 1
LCM(1541,1548) = 2385468 / 1
LCM(1541,1548) = 2385468

Properties of LCM 1541 and 1548

(i) The LCM of 1548 and 1541 is associative

LCM of 1541 and 1548 = LCM of 1548 and 1541

Related Least Common Multiples of 1541

Related Least Common Multiples of 1548

Frequently Asked Questions on LCM of 1541 and 1548

1. What is the LCM of 1541 and 1548?

Answer: LCM of 1541 and 1548 is 2385468.

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 1548?

Answer: Factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548. There are 18 integers that are factors of 1548. The greatest factor of 1548 is 1548.

4. How to Find the LCM of 1541 and 1548?

Answer:

Least Common Multiple of 1541 and 1548 = 2385468

Step 1: Find the prime factorization of 1541

1541 = 23 x 67

Step 2: Find the prime factorization of 1548

1548 = 2 x 2 x 3 x 3 x 43

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

LCM = 2385468 = 2 x 2 x 3 x 3 x 23 x 43 x 67

Step 4: Therefore, the least common multiple of 1541 and 1548 is 2385468.