Least Common Multiple of 5966 and 5971

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 5971 the smallest integer that is 35622986 that is divisible by both numbers.

Least Common Multiple (LCM) of 5966 and 5971 is 35622986.

LCM(5966,5971) = 35622986

LCM of 5966 and 5971

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

LCM of:
and

Least Common Multiple of 5966 and 5971

LCM of 5966 and 5971 is 35622986

Least common multiple can be found by multiplying the highest exponent prime factors of 5966 and 5971. First we will calculate the prime factors of 5966 and 5971.

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 5971


7 5971
853 853
1

Prime factors of 5971 are 7,853. Prime factorization of 5971 in exponential form is:

5971 = 71×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 5966 and 5971.

LCM(5966,5971) = 21×71×191×1571×8531
LCM(5966,5971) = 35622986

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 5971

List of positive integer factors of 5971 that divides 5971 without a remainder.

1, 7, 853, 5971

Least Common Multiple of 5966 and 5971 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 5971, than apply into the LCM equation.

GCF(5966,5971) = 1
LCM(5966,5971) = ( 5966 × 5971) / 1
LCM(5966,5971) = 35622986 / 1
LCM(5966,5971) = 35622986

Properties of LCM 5966 and 5971

(i) The LCM of 5971 and 5966 is associative

LCM of 5966 and 5971 = LCM of 5971 and 5966

Related Least Common Multiples of 5966

Related Least Common Multiples of 5971

Frequently Asked Questions on LCM of 5966 and 5971

1. What is the LCM of 5966 and 5971?

Answer: LCM of 5966 and 5971 is 35622986.

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 5971?

Answer: Factors of 5971 are 1, 7, 853, 5971. There are 4 integers that are factors of 5971. The greatest factor of 5971 is 5971.

4. How to Find the LCM of 5966 and 5971?

Answer:

Least Common Multiple of 5966 and 5971 = 35622986

Step 1: Find the prime factorization of 5966

5966 = 2 x 19 x 157

Step 2: Find the prime factorization of 5971

5971 = 7 x 853

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

LCM = 35622986 = 2 x 7 x 19 x 157 x 853

Step 4: Therefore, the least common multiple of 5966 and 5971 is 35622986.