Least Common Multiple of 615 and 620

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 620 the smallest integer that is 76260 that is divisible by both numbers.

Least Common Multiple (LCM) of 615 and 620 is 76260.

LCM(615,620) = 76260

LCM of 615 and 620

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

LCM of:
and

Least Common Multiple of 615 and 620

LCM of 615 and 620 is 76260

Least common multiple can be found by multiplying the highest exponent prime factors of 615 and 620. First we will calculate the prime factors of 615 and 620.

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 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 615 and 620.

LCM(615,620) = 22×31×51×311×411
LCM(615,620) = 76260

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 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Least Common Multiple of 615 and 620 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 620, than apply into the LCM equation.

GCF(615,620) = 5
LCM(615,620) = ( 615 × 620) / 5
LCM(615,620) = 381300 / 5
LCM(615,620) = 76260

Properties of LCM 615 and 620

(i) The LCM of 620 and 615 is associative

LCM of 615 and 620 = LCM of 620 and 615

Related Least Common Multiples of 615

Related Least Common Multiples of 620

Frequently Asked Questions on LCM of 615 and 620

1. What is the LCM of 615 and 620?

Answer: LCM of 615 and 620 is 76260.

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 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

4. How to Find the LCM of 615 and 620?

Answer:

Least Common Multiple of 615 and 620 = 76260

Step 1: Find the prime factorization of 615

615 = 3 x 5 x 41

Step 2: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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

LCM = 76260 = 2 x 2 x 3 x 5 x 31 x 41

Step 4: Therefore, the least common multiple of 615 and 620 is 76260.