Least Common Multiple of 66 and 71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 66 and 71 the smallest integer that is 4686 that is divisible by both numbers.

Least Common Multiple (LCM) of 66 and 71 is 4686.

LCM(66,71) = 4686

LCM of 66 and 71

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

LCM of:
and

Least Common Multiple of 66 and 71

LCM of 66 and 71 is 4686

Least common multiple can be found by multiplying the highest exponent prime factors of 66 and 71. First we will calculate the prime factors of 66 and 71.

Prime Factorization of 66


2 66
3 33
11 11
1

Prime factors of 66 are 2, 3,11. Prime factorization of 66 in exponential form is:

66 = 21×31×111

Prime Factorization of 71


71 71
1

Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:

71 = 711

Now multiplying the highest exponent prime factors to calculate the LCM of 66 and 71.

LCM(66,71) = 21×31×111×711
LCM(66,71) = 4686

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1, 71

Least Common Multiple of 66 and 71 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66 and 71, than apply into the LCM equation.

GCF(66,71) = 1
LCM(66,71) = ( 66 × 71) / 1
LCM(66,71) = 4686 / 1
LCM(66,71) = 4686

Properties of LCM 66 and 71

(i) The LCM of 71 and 66 is associative

LCM of 66 and 71 = LCM of 71 and 66

Related Least Common Multiples of 66

Related Least Common Multiples of 71

Frequently Asked Questions on LCM of 66 and 71

1. What is the LCM of 66 and 71?

Answer: LCM of 66 and 71 is 4686.

2. What are the Factors of 66?

Answer: Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. There are 8 integers that are factors of 66. The greatest factor of 66 is 66.

3. What are the Factors of 71?

Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.

4. How to Find the LCM of 66 and 71?

Answer:

Least Common Multiple of 66 and 71 = 4686

Step 1: Find the prime factorization of 66

66 = 2 x 3 x 11

Step 2: Find the prime factorization of 71

71 = 71

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

LCM = 4686 = 2 x 3 x 11 x 71

Step 4: Therefore, the least common multiple of 66 and 71 is 4686.