Least Common Multiple of 1522 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 1522 and 1528 the smallest integer that is 1162808 that is divisible by both numbers.

Least Common Multiple (LCM) of 1522 and 1528 is 1162808.

LCM(1522,1528) = 1162808

LCM of 1522 and 1528

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

LCM of:
and

Least Common Multiple of 1522 and 1528

LCM of 1522 and 1528 is 1162808

Least common multiple can be found by multiplying the highest exponent prime factors of 1522 and 1528. First we will calculate the prime factors of 1522 and 1528.

Prime Factorization of 1522


2 1522
761 761
1

Prime factors of 1522 are 2,761. Prime factorization of 1522 in exponential form is:

1522 = 21×7611

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 1522 and 1528.

LCM(1522,1528) = 23×1911×7611
LCM(1522,1528) = 1162808

Factors of 1522

List of positive integer factors of 1522 that divides 1522 without a remainder.

1, 2, 761, 1522

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 1522 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 1522 and 1528, than apply into the LCM equation.

GCF(1522,1528) = 2
LCM(1522,1528) = ( 1522 × 1528) / 2
LCM(1522,1528) = 2325616 / 2
LCM(1522,1528) = 1162808

Properties of LCM 1522 and 1528

(i) The LCM of 1528 and 1522 is associative

LCM of 1522 and 1528 = LCM of 1528 and 1522

Related Least Common Multiples of 1522

Related Least Common Multiples of 1528

Frequently Asked Questions on LCM of 1522 and 1528

1. What is the LCM of 1522 and 1528?

Answer: LCM of 1522 and 1528 is 1162808.

2. What are the Factors of 1522?

Answer: Factors of 1522 are 1, 2, 761, 1522. There are 4 integers that are factors of 1522. The greatest factor of 1522 is 1522.

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 1522 and 1528?

Answer:

Least Common Multiple of 1522 and 1528 = 1162808

Step 1: Find the prime factorization of 1522

1522 = 2 x 761

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 = 1162808 = 2 x 2 x 2 x 191 x 761

Step 4: Therefore, the least common multiple of 1522 and 1528 is 1162808.