Least Common Multiple of 1528 and 1534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1528 and 1534 the smallest integer that is 1171976 that is divisible by both numbers.

Least Common Multiple (LCM) of 1528 and 1534 is 1171976.

LCM(1528,1534) = 1171976

LCM of 1528 and 1534

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

LCM of:
and

Least Common Multiple of 1528 and 1534

LCM of 1528 and 1534 is 1171976

Least common multiple can be found by multiplying the highest exponent prime factors of 1528 and 1534. First we will calculate the prime factors of 1528 and 1534.

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

Prime Factorization of 1534


2 1534
13 767
59 59
1

Prime factors of 1534 are 2, 13,59. Prime factorization of 1534 in exponential form is:

1534 = 21×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1528 and 1534.

LCM(1528,1534) = 23×131×591×1911
LCM(1528,1534) = 1171976

Factors of 1528

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

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

Factors of 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1, 2, 13, 26, 59, 118, 767, 1534

Least Common Multiple of 1528 and 1534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1528 and 1534, than apply into the LCM equation.

GCF(1528,1534) = 2
LCM(1528,1534) = ( 1528 × 1534) / 2
LCM(1528,1534) = 2343952 / 2
LCM(1528,1534) = 1171976

Properties of LCM 1528 and 1534

(i) The LCM of 1534 and 1528 is associative

LCM of 1528 and 1534 = LCM of 1534 and 1528

Related Least Common Multiples of 1528

Related Least Common Multiples of 1534

Frequently Asked Questions on LCM of 1528 and 1534

1. What is the LCM of 1528 and 1534?

Answer: LCM of 1528 and 1534 is 1171976.

2. 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.

3. What are the Factors of 1534?

Answer: Factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534. There are 8 integers that are factors of 1534. The greatest factor of 1534 is 1534.

4. How to Find the LCM of 1528 and 1534?

Answer:

Least Common Multiple of 1528 and 1534 = 1171976

Step 1: Find the prime factorization of 1528

1528 = 2 x 2 x 2 x 191

Step 2: Find the prime factorization of 1534

1534 = 2 x 13 x 59

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

LCM = 1171976 = 2 x 2 x 2 x 13 x 59 x 191

Step 4: Therefore, the least common multiple of 1528 and 1534 is 1171976.