Least Common Multiple of 611 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 611 and 612 the smallest integer that is 373932 that is divisible by both numbers.

Least Common Multiple (LCM) of 611 and 612 is 373932.

LCM(611,612) = 373932

LCM of 611 and 612

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

LCM of:
and

Least Common Multiple of 611 and 612

LCM of 611 and 612 is 373932

Least common multiple can be found by multiplying the highest exponent prime factors of 611 and 612. First we will calculate the prime factors of 611 and 612.

Prime Factorization of 611


13 611
47 47
1

Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:

611 = 131×471

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 611 and 612.

LCM(611,612) = 22×32×131×171×471
LCM(611,612) = 373932

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1, 13, 47, 611

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 611 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 611 and 612, than apply into the LCM equation.

GCF(611,612) = 1
LCM(611,612) = ( 611 × 612) / 1
LCM(611,612) = 373932 / 1
LCM(611,612) = 373932

Properties of LCM 611 and 612

(i) The LCM of 612 and 611 is associative

LCM of 611 and 612 = LCM of 612 and 611

Related Least Common Multiples of 611

Related Least Common Multiples of 612

Frequently Asked Questions on LCM of 611 and 612

1. What is the LCM of 611 and 612?

Answer: LCM of 611 and 612 is 373932.

2. What are the Factors of 611?

Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.

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 611 and 612?

Answer:

Least Common Multiple of 611 and 612 = 373932

Step 1: Find the prime factorization of 611

611 = 13 x 47

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 = 373932 = 2 x 2 x 3 x 3 x 13 x 17 x 47

Step 4: Therefore, the least common multiple of 611 and 612 is 373932.