Least Common Multiple of 1524 and 1528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1524 and 1528 the smallest integer that is 582168 that is divisible by both numbers.

Least Common Multiple (LCM) of 1524 and 1528 is 582168.

LCM(1524,1528) = 582168

LCM of 1524 and 1528

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

LCM of:
and

Least Common Multiple of 1524 and 1528

LCM of 1524 and 1528 is 582168

Least common multiple can be found by multiplying the highest exponent prime factors of 1524 and 1528. First we will calculate the prime factors of 1524 and 1528.

Prime Factorization of 1524


2 1524
2 762
3 381
127 127
1

Prime factors of 1524 are 2, 3,127. Prime factorization of 1524 in exponential form is:

1524 = 22×31×1271

Prime Factorization of 1528


2 1528
2 764
2 382
191 191
1

Prime factors of 1528 are 2,191. Prime factorization of 1528 in exponential form is:

1528 = 23×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 1524 and 1528.

LCM(1524,1528) = 23×31×1271×1911
LCM(1524,1528) = 582168

Factors of 1524

List of positive integer factors of 1524 that divides 1524 without a remainder.

1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524

Factors of 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1, 2, 4, 8, 191, 382, 764, 1528

Least Common Multiple of 1524 and 1528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1524 and 1528, than apply into the LCM equation.

GCF(1524,1528) = 4
LCM(1524,1528) = ( 1524 × 1528) / 4
LCM(1524,1528) = 2328672 / 4
LCM(1524,1528) = 582168

Properties of LCM 1524 and 1528

(i) The LCM of 1528 and 1524 is associative

LCM of 1524 and 1528 = LCM of 1528 and 1524

Related Least Common Multiples of 1524

Related Least Common Multiples of 1528

Frequently Asked Questions on LCM of 1524 and 1528

1. What is the LCM of 1524 and 1528?

Answer: LCM of 1524 and 1528 is 582168.

2. What are the Factors of 1524?

Answer: Factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524. There are 12 integers that are factors of 1524. The greatest factor of 1524 is 1524.

3. What are the Factors of 1528?

Answer: Factors of 1528 are 1, 2, 4, 8, 191, 382, 764, 1528. There are 8 integers that are factors of 1528. The greatest factor of 1528 is 1528.

4. How to Find the LCM of 1524 and 1528?

Answer:

Least Common Multiple of 1524 and 1528 = 582168

Step 1: Find the prime factorization of 1524

1524 = 2 x 2 x 3 x 127

Step 2: Find the prime factorization of 1528

1528 = 2 x 2 x 2 x 191

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

LCM = 582168 = 2 x 2 x 2 x 3 x 127 x 191

Step 4: Therefore, the least common multiple of 1524 and 1528 is 582168.