Least Common Multiple of 612 and 617

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 617 the smallest integer that is 377604 that is divisible by both numbers.

Least Common Multiple (LCM) of 612 and 617 is 377604.

LCM(612,617) = 377604

LCM of 612 and 617

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

LCM of:
and

Least Common Multiple of 612 and 617

LCM of 612 and 617 is 377604

Least common multiple can be found by multiplying the highest exponent prime factors of 612 and 617. First we will calculate the prime factors of 612 and 617.

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 617


617 617
1

Prime factors of 617 are 617. Prime factorization of 617 in exponential form is:

617 = 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 612 and 617.

LCM(612,617) = 22×32×171×6171
LCM(612,617) = 377604

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 617

List of positive integer factors of 617 that divides 617 without a remainder.

1, 617

Least Common Multiple of 612 and 617 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 617, than apply into the LCM equation.

GCF(612,617) = 1
LCM(612,617) = ( 612 × 617) / 1
LCM(612,617) = 377604 / 1
LCM(612,617) = 377604

Properties of LCM 612 and 617

(i) The LCM of 617 and 612 is associative

LCM of 612 and 617 = LCM of 617 and 612

Related Least Common Multiples of 612

Related Least Common Multiples of 617

Frequently Asked Questions on LCM of 612 and 617

1. What is the LCM of 612 and 617?

Answer: LCM of 612 and 617 is 377604.

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 617?

Answer: Factors of 617 are 1, 617. There are 2 integers that are factors of 617. The greatest factor of 617 is 617.

4. How to Find the LCM of 612 and 617?

Answer:

Least Common Multiple of 612 and 617 = 377604

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 617

617 = 617

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

LCM = 377604 = 2 x 2 x 3 x 3 x 17 x 617

Step 4: Therefore, the least common multiple of 612 and 617 is 377604.