Least Common Multiple of 66 and 61

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 61 the smallest integer that is 4026 that is divisible by both numbers.

Least Common Multiple (LCM) of 66 and 61 is 4026.

LCM(66,61) = 4026

LCM of 66 and 61

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

LCM of:
and

Least Common Multiple of 66 and 61

LCM of 66 and 61 is 4026

Least common multiple can be found by multiplying the highest exponent prime factors of 66 and 61. First we will calculate the prime factors of 66 and 61.

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 61


61 61
1

Prime factors of 61 are 61. Prime factorization of 61 in exponential form is:

61 = 611

Now multiplying the highest exponent prime factors to calculate the LCM of 66 and 61.

LCM(66,61) = 21×31×111×611
LCM(66,61) = 4026

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 61

List of positive integer factors of 61 that divides 61 without a remainder.

1, 61

Least Common Multiple of 66 and 61 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 61, than apply into the LCM equation.

GCF(66,61) = 1
LCM(66,61) = ( 66 × 61) / 1
LCM(66,61) = 4026 / 1
LCM(66,61) = 4026

Properties of LCM 66 and 61

(i) The LCM of 61 and 66 is associative

LCM of 66 and 61 = LCM of 61 and 66

Related Least Common Multiples of 66

Related Least Common Multiples of 61

Frequently Asked Questions on LCM of 66 and 61

1. What is the LCM of 66 and 61?

Answer: LCM of 66 and 61 is 4026.

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 61?

Answer: Factors of 61 are 1, 61. There are 2 integers that are factors of 61. The greatest factor of 61 is 61.

4. How to Find the LCM of 66 and 61?

Answer:

Least Common Multiple of 66 and 61 = 4026

Step 1: Find the prime factorization of 66

66 = 2 x 3 x 11

Step 2: Find the prime factorization of 61

61 = 61

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

LCM = 4026 = 2 x 3 x 11 x 61

Step 4: Therefore, the least common multiple of 66 and 61 is 4026.