Least Common Multiple of 52908 and 52915

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

• Least Common Multiple of 52908 and 52915 by Prime method
• Least Common Multiple of 52908 and 52915 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 52908 and 52915. First we will calculate the prime factors of 52908 and 52915.

Prime Factorization of 52908

Prime factors of 52908 are 2, 3,4409. Prime factorization of 52908 in exponential form is:

52908 = 2²×3¹×4409¹

Prime Factorization of 52915

Prime factors of 52915 are 5, 19,557. Prime factorization of 52915 in exponential form is:

52915 = 5¹×19¹×557¹

Now multiplying the highest exponent prime factors to calculate the LCM of 52908 and 52915.

LCM(52908,52915) = 2²×3¹×5¹×19¹×557¹×4409¹
LCM(52908,52915) = 2799626820

Factors of 52908

List of positive integer factors of 52908 that divides 52908 without a remainder.

1, 2, 3, 4, 6, 12, 4409, 8818, 13227, 17636, 26454, 52908

Factors of 52915

List of positive integer factors of 52915 that divides 52915 without a remainder.

1, 5, 19, 95, 557, 2785, 10583, 52915

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52908 and 52915, than apply into the LCM equation.

GCF(52908,52915) = 1
LCM(52908,52915) = ( 52908 × 52915) / 1
LCM(52908,52915) = 2799626820 / 1
LCM(52908,52915) = 2799626820

(i) The LCM of 52915 and 52908 is associative

LCM of 52908 and 52915 = LCM of 52915 and 52908

1. What is the LCM of 52908 and 52915?

Answer: LCM of 52908 and 52915 is 2799626820.

2. What are the Factors of 52908?

Answer: Factors of 52908 are 1, 2, 3, 4, 6, 12, 4409, 8818, 13227, 17636, 26454, 52908. There are 12 integers that are factors of 52908. The greatest factor of 52908 is 52908.

3. What are the Factors of 52915?

Answer: Factors of 52915 are 1, 5, 19, 95, 557, 2785, 10583, 52915. There are 8 integers that are factors of 52915. The greatest factor of 52915 is 52915.

4. How to Find the LCM of 52908 and 52915?

Answer:

Least Common Multiple of 52908 and 52915 = 2799626820

Step 1: Find the prime factorization of 52908

52908 = 2 x 2 x 3 x 4409

Step 2: Find the prime factorization of 52915

52915 = 5 x 19 x 557

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

LCM = 2799626820 = 2 x 2 x 3 x 5 x 19 x 557 x 4409

Step 4: Therefore, the least common multiple of 52908 and 52915 is 2799626820.