Least Common Multiple of 5968 and 5974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5968 and 5974 the smallest integer that is 17826416 that is divisible by both numbers.

Least Common Multiple (LCM) of 5968 and 5974 is 17826416.

LCM(5968,5974) = 17826416

LCM of 5968 and 5974

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

LCM of:
and

Least Common Multiple of 5968 and 5974

LCM of 5968 and 5974 is 17826416

Least common multiple can be found by multiplying the highest exponent prime factors of 5968 and 5974. First we will calculate the prime factors of 5968 and 5974.

Prime Factorization of 5968


2 5968
2 2984
2 1492
2 746
373 373
1

Prime factors of 5968 are 2,373. Prime factorization of 5968 in exponential form is:

5968 = 24×3731

Prime Factorization of 5974


2 5974
29 2987
103 103
1

Prime factors of 5974 are 2, 29,103. Prime factorization of 5974 in exponential form is:

5974 = 21×291×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5968 and 5974.

LCM(5968,5974) = 24×291×1031×3731
LCM(5968,5974) = 17826416

Factors of 5968

List of positive integer factors of 5968 that divides 5968 without a remainder.

1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968

Factors of 5974

List of positive integer factors of 5974 that divides 5974 without a remainder.

1, 2, 29, 58, 103, 206, 2987, 5974

Least Common Multiple of 5968 and 5974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5968 and 5974, than apply into the LCM equation.

GCF(5968,5974) = 2
LCM(5968,5974) = ( 5968 × 5974) / 2
LCM(5968,5974) = 35652832 / 2
LCM(5968,5974) = 17826416

Properties of LCM 5968 and 5974

(i) The LCM of 5974 and 5968 is associative

LCM of 5968 and 5974 = LCM of 5974 and 5968

Related Least Common Multiples of 5968

Related Least Common Multiples of 5974

Frequently Asked Questions on LCM of 5968 and 5974

1. What is the LCM of 5968 and 5974?

Answer: LCM of 5968 and 5974 is 17826416.

2. What are the Factors of 5968?

Answer: Factors of 5968 are 1, 2, 4, 8, 16, 373, 746, 1492, 2984, 5968. There are 10 integers that are factors of 5968. The greatest factor of 5968 is 5968.

3. What are the Factors of 5974?

Answer: Factors of 5974 are 1, 2, 29, 58, 103, 206, 2987, 5974. There are 8 integers that are factors of 5974. The greatest factor of 5974 is 5974.

4. How to Find the LCM of 5968 and 5974?

Answer:

Least Common Multiple of 5968 and 5974 = 17826416

Step 1: Find the prime factorization of 5968

5968 = 2 x 2 x 2 x 2 x 373

Step 2: Find the prime factorization of 5974

5974 = 2 x 29 x 103

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

LCM = 17826416 = 2 x 2 x 2 x 2 x 29 x 103 x 373

Step 4: Therefore, the least common multiple of 5968 and 5974 is 17826416.