Least Common Multiple of 612 and 615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 612 and 615 the smallest integer that is 125460 that is divisible by both numbers.

Least Common Multiple (LCM) of 612 and 615 is 125460.

LCM(612,615) = 125460

LCM of 612 and 615

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

LCM of:
and

Least Common Multiple of 612 and 615

LCM of 612 and 615 is 125460

Least common multiple can be found by multiplying the highest exponent prime factors of 612 and 615. First we will calculate the prime factors of 612 and 615.

Prime Factorization of 612


2 612
2 306
3 153
3 51
17 17
1

Prime factors of 612 are 2, 3,17. Prime factorization of 612 in exponential form is:

612 = 22×32×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 612 and 615.

LCM(612,615) = 22×32×51×171×411
LCM(612,615) = 125460

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Factors of 615

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

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

Least Common Multiple of 612 and 615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 612 and 615, than apply into the LCM equation.

GCF(612,615) = 3
LCM(612,615) = ( 612 × 615) / 3
LCM(612,615) = 376380 / 3
LCM(612,615) = 125460

Properties of LCM 612 and 615

(i) The LCM of 615 and 612 is associative

LCM of 612 and 615 = LCM of 615 and 612

Related Least Common Multiples of 612

Related Least Common Multiples of 615

Frequently Asked Questions on LCM of 612 and 615

1. What is the LCM of 612 and 615?

Answer: LCM of 612 and 615 is 125460.

2. What are the Factors of 612?

Answer: Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. There are 18 integers that are factors of 612. The greatest factor of 612 is 612.

3. 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.

4. How to Find the LCM of 612 and 615?

Answer:

Least Common Multiple of 612 and 615 = 125460

Step 1: Find the prime factorization of 612

612 = 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 615

615 = 3 x 5 x 41

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

LCM = 125460 = 2 x 2 x 3 x 3 x 5 x 17 x 41

Step 4: Therefore, the least common multiple of 612 and 615 is 125460.