Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1502 and 1507 the smallest integer that is 2263514 that is divisible by both numbers.
Least Common Multiple (LCM) of 1502 and 1507 is 2263514.
LCM(1502,1507) = 2263514
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1502 and 1507. First we will calculate the prime factors of 1502 and 1507.
Prime Factorization of 1502
2 | 1502 |
751 | 751 |
1 |
Prime factors of 1502 are 2,751. Prime factorization of 1502 in exponential form is:
1502 = 21×7511
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1502 and 1507.
LCM(1502,1507) = 21×111×1371×7511
LCM(1502,1507) = 2263514
Factors of 1502
List of positive integer factors of 1502 that divides 1502 without a remainder.
1, 2, 751, 1502
Factors of 1507
List of positive integer factors of 1507 that divides 1507 without a remainder.
1, 11, 137, 1507
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1502 and 1507, than apply into the LCM equation.
GCF(1502,1507) = 1
LCM(1502,1507) = ( 1502 × 1507) / 1
LCM(1502,1507) = 2263514 / 1
LCM(1502,1507) = 2263514
(i) The LCM of 1507 and 1502 is associative
LCM of 1502 and 1507 = LCM of 1507 and 1502
1. What is the LCM of 1502 and 1507?
Answer: LCM of 1502 and 1507 is 2263514.
2. What are the Factors of 1502?
Answer: Factors of 1502 are 1, 2, 751, 1502. There are 4 integers that are factors of 1502. The greatest factor of 1502 is 1502.
3. 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.
4. How to Find the LCM of 1502 and 1507?
Answer:
Least Common Multiple of 1502 and 1507 = 2263514
Step 1: Find the prime factorization of 1502
1502 = 2 x 751
Step 2: Find the prime factorization of 1507
1507 = 11 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2263514 = 2 x 11 x 137 x 751
Step 4: Therefore, the least common multiple of 1502 and 1507 is 2263514.