Least Common Multiple of 528 and 534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 528 and 534 the smallest integer that is 46992 that is divisible by both numbers.

Least Common Multiple (LCM) of 528 and 534 is 46992.

LCM(528,534) = 46992

LCM of 528 and 534

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

LCM of:
and

Least Common Multiple of 528 and 534

LCM of 528 and 534 is 46992

Least common multiple can be found by multiplying the highest exponent prime factors of 528 and 534. First we will calculate the prime factors of 528 and 534.

Prime Factorization of 528


2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 528 are 2, 3,11. Prime factorization of 528 in exponential form is:

528 = 24×31×111

Prime Factorization of 534


2 534
3 267
89 89
1

Prime factors of 534 are 2, 3,89. Prime factorization of 534 in exponential form is:

534 = 21×31×891

Now multiplying the highest exponent prime factors to calculate the LCM of 528 and 534.

LCM(528,534) = 24×31×111×891
LCM(528,534) = 46992

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Least Common Multiple of 528 and 534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 528 and 534, than apply into the LCM equation.

GCF(528,534) = 6
LCM(528,534) = ( 528 × 534) / 6
LCM(528,534) = 281952 / 6
LCM(528,534) = 46992

Properties of LCM 528 and 534

(i) The LCM of 534 and 528 is associative

LCM of 528 and 534 = LCM of 534 and 528

Related Least Common Multiples of 528

Related Least Common Multiples of 534

Frequently Asked Questions on LCM of 528 and 534

1. What is the LCM of 528 and 534?

Answer: LCM of 528 and 534 is 46992.

2. What are the Factors of 528?

Answer: Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. There are 20 integers that are factors of 528. The greatest factor of 528 is 528.

3. What are the Factors of 534?

Answer: Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. There are 8 integers that are factors of 534. The greatest factor of 534 is 534.

4. How to Find the LCM of 528 and 534?

Answer:

Least Common Multiple of 528 and 534 = 46992

Step 1: Find the prime factorization of 528

528 = 2 x 2 x 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 534

534 = 2 x 3 x 89

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

LCM = 46992 = 2 x 2 x 2 x 2 x 3 x 11 x 89

Step 4: Therefore, the least common multiple of 528 and 534 is 46992.