Least Common Multiple of 612 and 613

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 613 the smallest integer that is 375156 that is divisible by both numbers.

Least Common Multiple (LCM) of 612 and 613 is 375156.

LCM(612,613) = 375156

LCM of 612 and 613

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

LCM of:
and

Least Common Multiple of 612 and 613

LCM of 612 and 613 is 375156

Least common multiple can be found by multiplying the highest exponent prime factors of 612 and 613. First we will calculate the prime factors of 612 and 613.

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 613


613 613
1

Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:

613 = 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 612 and 613.

LCM(612,613) = 22×32×171×6131
LCM(612,613) = 375156

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 613

List of positive integer factors of 613 that divides 613 without a remainder.

1, 613

Least Common Multiple of 612 and 613 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 613, than apply into the LCM equation.

GCF(612,613) = 1
LCM(612,613) = ( 612 × 613) / 1
LCM(612,613) = 375156 / 1
LCM(612,613) = 375156

Properties of LCM 612 and 613

(i) The LCM of 613 and 612 is associative

LCM of 612 and 613 = LCM of 613 and 612

Related Least Common Multiples of 612

Related Least Common Multiples of 613

Frequently Asked Questions on LCM of 612 and 613

1. What is the LCM of 612 and 613?

Answer: LCM of 612 and 613 is 375156.

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 613?

Answer: Factors of 613 are 1, 613. There are 2 integers that are factors of 613. The greatest factor of 613 is 613.

4. How to Find the LCM of 612 and 613?

Answer:

Least Common Multiple of 612 and 613 = 375156

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 613

613 = 613

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

LCM = 375156 = 2 x 2 x 3 x 3 x 17 x 613

Step 4: Therefore, the least common multiple of 612 and 613 is 375156.