Least Common Multiple of 66 and 73

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 73 the smallest integer that is 4818 that is divisible by both numbers.

Least Common Multiple (LCM) of 66 and 73 is 4818.

LCM(66,73) = 4818

LCM of 66 and 73

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

LCM of:
and

Least Common Multiple of 66 and 73

LCM of 66 and 73 is 4818

Least common multiple can be found by multiplying the highest exponent prime factors of 66 and 73. First we will calculate the prime factors of 66 and 73.

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 73


73 73
1

Prime factors of 73 are 73. Prime factorization of 73 in exponential form is:

73 = 731

Now multiplying the highest exponent prime factors to calculate the LCM of 66 and 73.

LCM(66,73) = 21×31×111×731
LCM(66,73) = 4818

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 73

List of positive integer factors of 73 that divides 73 without a remainder.

1, 73

Least Common Multiple of 66 and 73 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 73, than apply into the LCM equation.

GCF(66,73) = 1
LCM(66,73) = ( 66 × 73) / 1
LCM(66,73) = 4818 / 1
LCM(66,73) = 4818

Properties of LCM 66 and 73

(i) The LCM of 73 and 66 is associative

LCM of 66 and 73 = LCM of 73 and 66

Related Least Common Multiples of 66

Related Least Common Multiples of 73

Frequently Asked Questions on LCM of 66 and 73

1. What is the LCM of 66 and 73?

Answer: LCM of 66 and 73 is 4818.

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 73?

Answer: Factors of 73 are 1, 73. There are 2 integers that are factors of 73. The greatest factor of 73 is 73.

4. How to Find the LCM of 66 and 73?

Answer:

Least Common Multiple of 66 and 73 = 4818

Step 1: Find the prime factorization of 66

66 = 2 x 3 x 11

Step 2: Find the prime factorization of 73

73 = 73

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

LCM = 4818 = 2 x 3 x 11 x 73

Step 4: Therefore, the least common multiple of 66 and 73 is 4818.