Least Common Multiple of 5966 and 5973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5966 and 5973 the smallest integer that is 35634918 that is divisible by both numbers.

Least Common Multiple (LCM) of 5966 and 5973 is 35634918.

LCM(5966,5973) = 35634918

LCM of 5966 and 5973

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

LCM of:
and

Least Common Multiple of 5966 and 5973

LCM of 5966 and 5973 is 35634918

Least common multiple can be found by multiplying the highest exponent prime factors of 5966 and 5973. First we will calculate the prime factors of 5966 and 5973.

Prime Factorization of 5966


2 5966
19 2983
157 157
1

Prime factors of 5966 are 2, 19,157. Prime factorization of 5966 in exponential form is:

5966 = 21×191×1571

Prime Factorization of 5973


3 5973
11 1991
181 181
1

Prime factors of 5973 are 3, 11,181. Prime factorization of 5973 in exponential form is:

5973 = 31×111×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 5966 and 5973.

LCM(5966,5973) = 21×31×111×191×1571×1811
LCM(5966,5973) = 35634918

Factors of 5966

List of positive integer factors of 5966 that divides 5966 without a remainder.

1, 2, 19, 38, 157, 314, 2983, 5966

Factors of 5973

List of positive integer factors of 5973 that divides 5973 without a remainder.

1, 3, 11, 33, 181, 543, 1991, 5973

Least Common Multiple of 5966 and 5973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5966 and 5973, than apply into the LCM equation.

GCF(5966,5973) = 1
LCM(5966,5973) = ( 5966 × 5973) / 1
LCM(5966,5973) = 35634918 / 1
LCM(5966,5973) = 35634918

Properties of LCM 5966 and 5973

(i) The LCM of 5973 and 5966 is associative

LCM of 5966 and 5973 = LCM of 5973 and 5966

Related Least Common Multiples of 5966

Related Least Common Multiples of 5973

Frequently Asked Questions on LCM of 5966 and 5973

1. What is the LCM of 5966 and 5973?

Answer: LCM of 5966 and 5973 is 35634918.

2. What are the Factors of 5966?

Answer: Factors of 5966 are 1, 2, 19, 38, 157, 314, 2983, 5966. There are 8 integers that are factors of 5966. The greatest factor of 5966 is 5966.

3. What are the Factors of 5973?

Answer: Factors of 5973 are 1, 3, 11, 33, 181, 543, 1991, 5973. There are 8 integers that are factors of 5973. The greatest factor of 5973 is 5973.

4. How to Find the LCM of 5966 and 5973?

Answer:

Least Common Multiple of 5966 and 5973 = 35634918

Step 1: Find the prime factorization of 5966

5966 = 2 x 19 x 157

Step 2: Find the prime factorization of 5973

5973 = 3 x 11 x 181

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

LCM = 35634918 = 2 x 3 x 11 x 19 x 157 x 181

Step 4: Therefore, the least common multiple of 5966 and 5973 is 35634918.