Least Common Multiple of 5967 and 5970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5967 and 5970 the smallest integer that is 11874330 that is divisible by both numbers.

Least Common Multiple (LCM) of 5967 and 5970 is 11874330.

LCM(5967,5970) = 11874330

LCM of 5967 and 5970

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

LCM of:
and

Least Common Multiple of 5967 and 5970

LCM of 5967 and 5970 is 11874330

Least common multiple can be found by multiplying the highest exponent prime factors of 5967 and 5970. First we will calculate the prime factors of 5967 and 5970.

Prime Factorization of 5967


3 5967
3 1989
3 663
13 221
17 17
1

Prime factors of 5967 are 3, 13,17. Prime factorization of 5967 in exponential form is:

5967 = 33×131×171

Prime Factorization of 5970


2 5970
3 2985
5 995
199 199
1

Prime factors of 5970 are 2, 3, 5,199. Prime factorization of 5970 in exponential form is:

5970 = 21×31×51×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5967 and 5970.

LCM(5967,5970) = 21×33×51×131×171×1991
LCM(5967,5970) = 11874330

Factors of 5967

List of positive integer factors of 5967 that divides 5967 without a remainder.

1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967

Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970

Least Common Multiple of 5967 and 5970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5967 and 5970, than apply into the LCM equation.

GCF(5967,5970) = 3
LCM(5967,5970) = ( 5967 × 5970) / 3
LCM(5967,5970) = 35622990 / 3
LCM(5967,5970) = 11874330

Properties of LCM 5967 and 5970

(i) The LCM of 5970 and 5967 is associative

LCM of 5967 and 5970 = LCM of 5970 and 5967

Related Least Common Multiples of 5967

Related Least Common Multiples of 5970

Frequently Asked Questions on LCM of 5967 and 5970

1. What is the LCM of 5967 and 5970?

Answer: LCM of 5967 and 5970 is 11874330.

2. What are the Factors of 5967?

Answer: Factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967. There are 16 integers that are factors of 5967. The greatest factor of 5967 is 5967.

3. What are the Factors of 5970?

Answer: Factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970. There are 16 integers that are factors of 5970. The greatest factor of 5970 is 5970.

4. How to Find the LCM of 5967 and 5970?

Answer:

Least Common Multiple of 5967 and 5970 = 11874330

Step 1: Find the prime factorization of 5967

5967 = 3 x 3 x 3 x 13 x 17

Step 2: Find the prime factorization of 5970

5970 = 2 x 3 x 5 x 199

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

LCM = 11874330 = 2 x 3 x 3 x 3 x 5 x 13 x 17 x 199

Step 4: Therefore, the least common multiple of 5967 and 5970 is 11874330.