Least Common Multiple of 615 and 616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 615 and 616 the smallest integer that is 378840 that is divisible by both numbers.

Least Common Multiple (LCM) of 615 and 616 is 378840.

LCM(615,616) = 378840

LCM of 615 and 616

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

LCM of:
and

Least Common Multiple of 615 and 616

LCM of 615 and 616 is 378840

Least common multiple can be found by multiplying the highest exponent prime factors of 615 and 616. First we will calculate the prime factors of 615 and 616.

Prime Factorization of 615


3 615
5 205
41 41
1

Prime factors of 615 are 3, 5,41. Prime factorization of 615 in exponential form is:

615 = 31×51×411

Prime Factorization of 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 615 and 616.

LCM(615,616) = 23×31×51×71×111×411
LCM(615,616) = 378840

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Least Common Multiple of 615 and 616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 615 and 616, than apply into the LCM equation.

GCF(615,616) = 1
LCM(615,616) = ( 615 × 616) / 1
LCM(615,616) = 378840 / 1
LCM(615,616) = 378840

Properties of LCM 615 and 616

(i) The LCM of 616 and 615 is associative

LCM of 615 and 616 = LCM of 616 and 615

Related Least Common Multiples of 615

Related Least Common Multiples of 616

Frequently Asked Questions on LCM of 615 and 616

1. What is the LCM of 615 and 616?

Answer: LCM of 615 and 616 is 378840.

2. What are the Factors of 615?

Answer: Factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615. There are 8 integers that are factors of 615. The greatest factor of 615 is 615.

3. What are the Factors of 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

4. How to Find the LCM of 615 and 616?

Answer:

Least Common Multiple of 615 and 616 = 378840

Step 1: Find the prime factorization of 615

615 = 3 x 5 x 41

Step 2: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

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

LCM = 378840 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 41

Step 4: Therefore, the least common multiple of 615 and 616 is 378840.