Least Common Multiple of 1507 and 1512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1507 and 1512 the smallest integer that is 2278584 that is divisible by both numbers.

Least Common Multiple (LCM) of 1507 and 1512 is 2278584.

LCM(1507,1512) = 2278584

LCM of 1507 and 1512

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

LCM of:
and

Least Common Multiple of 1507 and 1512

LCM of 1507 and 1512 is 2278584

Least common multiple can be found by multiplying the highest exponent prime factors of 1507 and 1512. First we will calculate the prime factors of 1507 and 1512.

Prime Factorization of 1507


11 1507
137 137
1

Prime factors of 1507 are 11,137. Prime factorization of 1507 in exponential form is:

1507 = 111×1371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1507 and 1512.

LCM(1507,1512) = 23×33×71×111×1371
LCM(1507,1512) = 2278584

Factors of 1507

List of positive integer factors of 1507 that divides 1507 without a remainder.

1, 11, 137, 1507

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

Least Common Multiple of 1507 and 1512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1507 and 1512, than apply into the LCM equation.

GCF(1507,1512) = 1
LCM(1507,1512) = ( 1507 × 1512) / 1
LCM(1507,1512) = 2278584 / 1
LCM(1507,1512) = 2278584

Properties of LCM 1507 and 1512

(i) The LCM of 1512 and 1507 is associative

LCM of 1507 and 1512 = LCM of 1512 and 1507

Related Least Common Multiples of 1507

Related Least Common Multiples of 1512

Frequently Asked Questions on LCM of 1507 and 1512

1. What is the LCM of 1507 and 1512?

Answer: LCM of 1507 and 1512 is 2278584.

2. What are the Factors of 1507?

Answer: Factors of 1507 are 1, 11, 137, 1507. There are 4 integers that are factors of 1507. The greatest factor of 1507 is 1507.

3. 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.

4. How to Find the LCM of 1507 and 1512?

Answer:

Least Common Multiple of 1507 and 1512 = 2278584

Step 1: Find the prime factorization of 1507

1507 = 11 x 137

Step 2: Find the prime factorization of 1512

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

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

LCM = 2278584 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 137

Step 4: Therefore, the least common multiple of 1507 and 1512 is 2278584.