Least Common Multiple of 1514 and 1522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1514 and 1522 the smallest integer that is 1152154 that is divisible by both numbers.

Least Common Multiple (LCM) of 1514 and 1522 is 1152154.

LCM(1514,1522) = 1152154

LCM of 1514 and 1522

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

LCM of:
and

Least Common Multiple of 1514 and 1522

LCM of 1514 and 1522 is 1152154

Least common multiple can be found by multiplying the highest exponent prime factors of 1514 and 1522. First we will calculate the prime factors of 1514 and 1522.

Prime Factorization of 1514


2 1514
757 757
1

Prime factors of 1514 are 2,757. Prime factorization of 1514 in exponential form is:

1514 = 21×7571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1514 and 1522.

LCM(1514,1522) = 21×7571×7611
LCM(1514,1522) = 1152154

Factors of 1514

List of positive integer factors of 1514 that divides 1514 without a remainder.

1, 2, 757, 1514

Factors of 1522

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

1, 2, 761, 1522

Least Common Multiple of 1514 and 1522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1514 and 1522, than apply into the LCM equation.

GCF(1514,1522) = 2
LCM(1514,1522) = ( 1514 × 1522) / 2
LCM(1514,1522) = 2304308 / 2
LCM(1514,1522) = 1152154

Properties of LCM 1514 and 1522

(i) The LCM of 1522 and 1514 is associative

LCM of 1514 and 1522 = LCM of 1522 and 1514

Related Least Common Multiples of 1514

Related Least Common Multiples of 1522

Frequently Asked Questions on LCM of 1514 and 1522

1. What is the LCM of 1514 and 1522?

Answer: LCM of 1514 and 1522 is 1152154.

2. What are the Factors of 1514?

Answer: Factors of 1514 are 1, 2, 757, 1514. There are 4 integers that are factors of 1514. The greatest factor of 1514 is 1514.

3. 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.

4. How to Find the LCM of 1514 and 1522?

Answer:

Least Common Multiple of 1514 and 1522 = 1152154

Step 1: Find the prime factorization of 1514

1514 = 2 x 757

Step 2: Find the prime factorization of 1522

1522 = 2 x 761

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

LCM = 1152154 = 2 x 757 x 761

Step 4: Therefore, the least common multiple of 1514 and 1522 is 1152154.