Least Common Multiple of 58 and 66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 58 and 66 the smallest integer that is 1914 that is divisible by both numbers.

Least Common Multiple (LCM) of 58 and 66 is 1914.

LCM(58,66) = 1914

LCM of 58 and 66

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

LCM of:
and

Least Common Multiple of 58 and 66

LCM of 58 and 66 is 1914

Least common multiple can be found by multiplying the highest exponent prime factors of 58 and 66. First we will calculate the prime factors of 58 and 66.

Prime Factorization of 58


2 58
29 29
1

Prime factors of 58 are 2,29. Prime factorization of 58 in exponential form is:

58 = 21×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 58 and 66.

LCM(58,66) = 21×31×111×291
LCM(58,66) = 1914

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Factors of 66

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

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

Least Common Multiple of 58 and 66 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58 and 66, than apply into the LCM equation.

GCF(58,66) = 2
LCM(58,66) = ( 58 × 66) / 2
LCM(58,66) = 3828 / 2
LCM(58,66) = 1914

Properties of LCM 58 and 66

(i) The LCM of 66 and 58 is associative

LCM of 58 and 66 = LCM of 66 and 58

Related Least Common Multiples of 58

Related Least Common Multiples of 66

Frequently Asked Questions on LCM of 58 and 66

1. What is the LCM of 58 and 66?

Answer: LCM of 58 and 66 is 1914.

2. What are the Factors of 58?

Answer: Factors of 58 are 1, 2, 29, 58. There are 4 integers that are factors of 58. The greatest factor of 58 is 58.

3. 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.

4. How to Find the LCM of 58 and 66?

Answer:

Least Common Multiple of 58 and 66 = 1914

Step 1: Find the prime factorization of 58

58 = 2 x 29

Step 2: Find the prime factorization of 66

66 = 2 x 3 x 11

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

LCM = 1914 = 2 x 3 x 11 x 29

Step 4: Therefore, the least common multiple of 58 and 66 is 1914.