Least Common Multiple of 1522 and 1527

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 1527 the smallest integer that is 2324094 that is divisible by both numbers.

Least Common Multiple (LCM) of 1522 and 1527 is 2324094.

LCM(1522,1527) = 2324094

LCM of 1522 and 1527

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

LCM of:
and

Least Common Multiple of 1522 and 1527

LCM of 1522 and 1527 is 2324094

Least common multiple can be found by multiplying the highest exponent prime factors of 1522 and 1527. First we will calculate the prime factors of 1522 and 1527.

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 1527


3 1527
509 509
1

Prime factors of 1527 are 3,509. Prime factorization of 1527 in exponential form is:

1527 = 31×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 1522 and 1527.

LCM(1522,1527) = 21×31×5091×7611
LCM(1522,1527) = 2324094

Factors of 1522

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

1, 2, 761, 1522

Factors of 1527

List of positive integer factors of 1527 that divides 1527 without a remainder.

1, 3, 509, 1527

Least Common Multiple of 1522 and 1527 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 1527, than apply into the LCM equation.

GCF(1522,1527) = 1
LCM(1522,1527) = ( 1522 × 1527) / 1
LCM(1522,1527) = 2324094 / 1
LCM(1522,1527) = 2324094

Properties of LCM 1522 and 1527

(i) The LCM of 1527 and 1522 is associative

LCM of 1522 and 1527 = LCM of 1527 and 1522

Related Least Common Multiples of 1522

Related Least Common Multiples of 1527

Frequently Asked Questions on LCM of 1522 and 1527

1. What is the LCM of 1522 and 1527?

Answer: LCM of 1522 and 1527 is 2324094.

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 1527?

Answer: Factors of 1527 are 1, 3, 509, 1527. There are 4 integers that are factors of 1527. The greatest factor of 1527 is 1527.

4. How to Find the LCM of 1522 and 1527?

Answer:

Least Common Multiple of 1522 and 1527 = 2324094

Step 1: Find the prime factorization of 1522

1522 = 2 x 761

Step 2: Find the prime factorization of 1527

1527 = 3 x 509

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

LCM = 2324094 = 2 x 3 x 509 x 761

Step 4: Therefore, the least common multiple of 1522 and 1527 is 2324094.