Least Common Multiple of 1540 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 1540 and 1548 the smallest integer that is 595980 that is divisible by both numbers.

Least Common Multiple (LCM) of 1540 and 1548 is 595980.

LCM(1540,1548) = 595980

LCM of 1540 and 1548

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

LCM of:
and

Least Common Multiple of 1540 and 1548

LCM of 1540 and 1548 is 595980

Least common multiple can be found by multiplying the highest exponent prime factors of 1540 and 1548. First we will calculate the prime factors of 1540 and 1548.

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 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 1540 and 1548.

LCM(1540,1548) = 22×32×51×71×111×431
LCM(1540,1548) = 595980

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 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 1540 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 1540 and 1548, than apply into the LCM equation.

GCF(1540,1548) = 4
LCM(1540,1548) = ( 1540 × 1548) / 4
LCM(1540,1548) = 2383920 / 4
LCM(1540,1548) = 595980

Properties of LCM 1540 and 1548

(i) The LCM of 1548 and 1540 is associative

LCM of 1540 and 1548 = LCM of 1548 and 1540

Related Least Common Multiples of 1540

Related Least Common Multiples of 1548

Frequently Asked Questions on LCM of 1540 and 1548

1. What is the LCM of 1540 and 1548?

Answer: LCM of 1540 and 1548 is 595980.

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 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 1540 and 1548?

Answer:

Least Common Multiple of 1540 and 1548 = 595980

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 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 = 595980 = 2 x 2 x 3 x 3 x 5 x 7 x 11 x 43

Step 4: Therefore, the least common multiple of 1540 and 1548 is 595980.