Least Common Multiple of 1523 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 1523 and 1528 the smallest integer that is 2327144 that is divisible by both numbers.

Least Common Multiple (LCM) of 1523 and 1528 is 2327144.

LCM(1523,1528) = 2327144

LCM of 1523 and 1528

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

LCM of:
and

Least Common Multiple of 1523 and 1528

LCM of 1523 and 1528 is 2327144

Least common multiple can be found by multiplying the highest exponent prime factors of 1523 and 1528. First we will calculate the prime factors of 1523 and 1528.

Prime Factorization of 1523


1523 1523
1

Prime factors of 1523 are 1523. Prime factorization of 1523 in exponential form is:

1523 = 15231

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 1523 and 1528.

LCM(1523,1528) = 23×1911×15231
LCM(1523,1528) = 2327144

Factors of 1523

List of positive integer factors of 1523 that divides 1523 without a remainder.

1, 1523

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 1523 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 1523 and 1528, than apply into the LCM equation.

GCF(1523,1528) = 1
LCM(1523,1528) = ( 1523 × 1528) / 1
LCM(1523,1528) = 2327144 / 1
LCM(1523,1528) = 2327144

Properties of LCM 1523 and 1528

(i) The LCM of 1528 and 1523 is associative

LCM of 1523 and 1528 = LCM of 1528 and 1523

Related Least Common Multiples of 1523

Related Least Common Multiples of 1528

Frequently Asked Questions on LCM of 1523 and 1528

1. What is the LCM of 1523 and 1528?

Answer: LCM of 1523 and 1528 is 2327144.

2. What are the Factors of 1523?

Answer: Factors of 1523 are 1, 1523. There are 2 integers that are factors of 1523. The greatest factor of 1523 is 1523.

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 1523 and 1528?

Answer:

Least Common Multiple of 1523 and 1528 = 2327144

Step 1: Find the prime factorization of 1523

1523 = 1523

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 = 2327144 = 2 x 2 x 2 x 191 x 1523

Step 4: Therefore, the least common multiple of 1523 and 1528 is 2327144.