Least Common Multiple of 607 and 612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 607 and 612 the smallest integer that is 371484 that is divisible by both numbers.

Least Common Multiple (LCM) of 607 and 612 is 371484.

LCM(607,612) = 371484

LCM of 607 and 612

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

LCM of:
and

Least Common Multiple of 607 and 612

LCM of 607 and 612 is 371484

Least common multiple can be found by multiplying the highest exponent prime factors of 607 and 612. First we will calculate the prime factors of 607 and 612.

Prime Factorization of 607


607 607
1

Prime factors of 607 are 607. Prime factorization of 607 in exponential form is:

607 = 6071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 607 and 612.

LCM(607,612) = 22×32×171×6071
LCM(607,612) = 371484

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1, 607

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

Least Common Multiple of 607 and 612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 607 and 612, than apply into the LCM equation.

GCF(607,612) = 1
LCM(607,612) = ( 607 × 612) / 1
LCM(607,612) = 371484 / 1
LCM(607,612) = 371484

Properties of LCM 607 and 612

(i) The LCM of 612 and 607 is associative

LCM of 607 and 612 = LCM of 612 and 607

Related Least Common Multiples of 607

Related Least Common Multiples of 612

Frequently Asked Questions on LCM of 607 and 612

1. What is the LCM of 607 and 612?

Answer: LCM of 607 and 612 is 371484.

2. What are the Factors of 607?

Answer: Factors of 607 are 1, 607. There are 2 integers that are factors of 607. The greatest factor of 607 is 607.

3. 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.

4. How to Find the LCM of 607 and 612?

Answer:

Least Common Multiple of 607 and 612 = 371484

Step 1: Find the prime factorization of 607

607 = 607

Step 2: Find the prime factorization of 612

612 = 2 x 2 x 3 x 3 x 17

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

LCM = 371484 = 2 x 2 x 3 x 3 x 17 x 607

Step 4: Therefore, the least common multiple of 607 and 612 is 371484.