Least Common Multiple of 1512 and 1515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1512 and 1515 the smallest integer that is 763560 that is divisible by both numbers.

Least Common Multiple (LCM) of 1512 and 1515 is 763560.

LCM(1512,1515) = 763560

LCM of 1512 and 1515

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

LCM of:
and

Least Common Multiple of 1512 and 1515

LCM of 1512 and 1515 is 763560

Least common multiple can be found by multiplying the highest exponent prime factors of 1512 and 1515. First we will calculate the prime factors of 1512 and 1515.

Prime Factorization of 1512


2 1512
2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 1512 are 2, 3,7. Prime factorization of 1512 in exponential form is:

1512 = 23×33×71

Prime Factorization of 1515


3 1515
5 505
101 101
1

Prime factors of 1515 are 3, 5,101. Prime factorization of 1515 in exponential form is:

1515 = 31×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1512 and 1515.

LCM(1512,1515) = 23×33×51×71×1011
LCM(1512,1515) = 763560

Factors of 1512

List of positive integer factors of 1512 that divides 1512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512

Factors of 1515

List of positive integer factors of 1515 that divides 1515 without a remainder.

1, 3, 5, 15, 101, 303, 505, 1515

Least Common Multiple of 1512 and 1515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1512 and 1515, than apply into the LCM equation.

GCF(1512,1515) = 3
LCM(1512,1515) = ( 1512 × 1515) / 3
LCM(1512,1515) = 2290680 / 3
LCM(1512,1515) = 763560

Properties of LCM 1512 and 1515

(i) The LCM of 1515 and 1512 is associative

LCM of 1512 and 1515 = LCM of 1515 and 1512

Related Least Common Multiples of 1512

Related Least Common Multiples of 1515

Frequently Asked Questions on LCM of 1512 and 1515

1. What is the LCM of 1512 and 1515?

Answer: LCM of 1512 and 1515 is 763560.

2. What are the Factors of 1512?

Answer: Factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512. There are 32 integers that are factors of 1512. The greatest factor of 1512 is 1512.

3. What are the Factors of 1515?

Answer: Factors of 1515 are 1, 3, 5, 15, 101, 303, 505, 1515. There are 8 integers that are factors of 1515. The greatest factor of 1515 is 1515.

4. How to Find the LCM of 1512 and 1515?

Answer:

Least Common Multiple of 1512 and 1515 = 763560

Step 1: Find the prime factorization of 1512

1512 = 2 x 2 x 2 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 1515

1515 = 3 x 5 x 101

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

LCM = 763560 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 101

Step 4: Therefore, the least common multiple of 1512 and 1515 is 763560.