Least Common Multiple of 5970 and 5978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5970 and 5978 the smallest integer that is 17844330 that is divisible by both numbers.

Least Common Multiple (LCM) of 5970 and 5978 is 17844330.

LCM(5970,5978) = 17844330

LCM of 5970 and 5978

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

LCM of:
and

Least Common Multiple of 5970 and 5978

LCM of 5970 and 5978 is 17844330

Least common multiple can be found by multiplying the highest exponent prime factors of 5970 and 5978. First we will calculate the prime factors of 5970 and 5978.

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

Prime Factorization of 5978


2 5978
7 2989
7 427
61 61
1

Prime factors of 5978 are 2, 7,61. Prime factorization of 5978 in exponential form is:

5978 = 21×72×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5970 and 5978.

LCM(5970,5978) = 21×31×51×72×611×1991
LCM(5970,5978) = 17844330

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

Factors of 5978

List of positive integer factors of 5978 that divides 5978 without a remainder.

1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978

Least Common Multiple of 5970 and 5978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5970 and 5978, than apply into the LCM equation.

GCF(5970,5978) = 2
LCM(5970,5978) = ( 5970 × 5978) / 2
LCM(5970,5978) = 35688660 / 2
LCM(5970,5978) = 17844330

Properties of LCM 5970 and 5978

(i) The LCM of 5978 and 5970 is associative

LCM of 5970 and 5978 = LCM of 5978 and 5970

Related Least Common Multiples of 5970

Related Least Common Multiples of 5978

Frequently Asked Questions on LCM of 5970 and 5978

1. What is the LCM of 5970 and 5978?

Answer: LCM of 5970 and 5978 is 17844330.

2. 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.

3. What are the Factors of 5978?

Answer: Factors of 5978 are 1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978. There are 12 integers that are factors of 5978. The greatest factor of 5978 is 5978.

4. How to Find the LCM of 5970 and 5978?

Answer:

Least Common Multiple of 5970 and 5978 = 17844330

Step 1: Find the prime factorization of 5970

5970 = 2 x 3 x 5 x 199

Step 2: Find the prime factorization of 5978

5978 = 2 x 7 x 7 x 61

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

LCM = 17844330 = 2 x 3 x 5 x 7 x 7 x 61 x 199

Step 4: Therefore, the least common multiple of 5970 and 5978 is 17844330.