Least Common Multiple of 1540 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 1540 and 1545 the smallest integer that is 475860 that is divisible by both numbers.

Least Common Multiple (LCM) of 1540 and 1545 is 475860.

LCM(1540,1545) = 475860

LCM of 1540 and 1545

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

LCM of:
and

Least Common Multiple of 1540 and 1545

LCM of 1540 and 1545 is 475860

Least common multiple can be found by multiplying the highest exponent prime factors of 1540 and 1545. First we will calculate the prime factors of 1540 and 1545.

Prime Factorization of 1540


2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 1540 are 2, 5, 7,11. Prime factorization of 1540 in exponential form is:

1540 = 22×51×71×111

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 1540 and 1545.

LCM(1540,1545) = 22×31×51×71×111×1031
LCM(1540,1545) = 475860

Factors of 1540

List of positive integer factors of 1540 that divides 1540 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540

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 1540 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 1540 and 1545, than apply into the LCM equation.

GCF(1540,1545) = 5
LCM(1540,1545) = ( 1540 × 1545) / 5
LCM(1540,1545) = 2379300 / 5
LCM(1540,1545) = 475860

Properties of LCM 1540 and 1545

(i) The LCM of 1545 and 1540 is associative

LCM of 1540 and 1545 = LCM of 1545 and 1540

Related Least Common Multiples of 1540

Related Least Common Multiples of 1545

Frequently Asked Questions on LCM of 1540 and 1545

1. What is the LCM of 1540 and 1545?

Answer: LCM of 1540 and 1545 is 475860.

2. What are the Factors of 1540?

Answer: Factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540. There are 24 integers that are factors of 1540. The greatest factor of 1540 is 1540.

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 1540 and 1545?

Answer:

Least Common Multiple of 1540 and 1545 = 475860

Step 1: Find the prime factorization of 1540

1540 = 2 x 2 x 5 x 7 x 11

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 = 475860 = 2 x 2 x 3 x 5 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 1540 and 1545 is 475860.