Least Common Multiple of 5972 and 5976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5972 and 5976 the smallest integer that is 8922168 that is divisible by both numbers.

Least Common Multiple (LCM) of 5972 and 5976 is 8922168.

LCM(5972,5976) = 8922168

LCM of 5972 and 5976

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

LCM of:
and

Least Common Multiple of 5972 and 5976

LCM of 5972 and 5976 is 8922168

Least common multiple can be found by multiplying the highest exponent prime factors of 5972 and 5976. First we will calculate the prime factors of 5972 and 5976.

Prime Factorization of 5972


2 5972
2 2986
1493 1493
1

Prime factors of 5972 are 2,1493. Prime factorization of 5972 in exponential form is:

5972 = 22×14931

Prime Factorization of 5976


2 5976
2 2988
2 1494
3 747
3 249
83 83
1

Prime factors of 5976 are 2, 3,83. Prime factorization of 5976 in exponential form is:

5976 = 23×32×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5972 and 5976.

LCM(5972,5976) = 23×32×831×14931
LCM(5972,5976) = 8922168

Factors of 5972

List of positive integer factors of 5972 that divides 5972 without a remainder.

1, 2, 4, 1493, 2986, 5972

Factors of 5976

List of positive integer factors of 5976 that divides 5976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976

Least Common Multiple of 5972 and 5976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5972 and 5976, than apply into the LCM equation.

GCF(5972,5976) = 4
LCM(5972,5976) = ( 5972 × 5976) / 4
LCM(5972,5976) = 35688672 / 4
LCM(5972,5976) = 8922168

Properties of LCM 5972 and 5976

(i) The LCM of 5976 and 5972 is associative

LCM of 5972 and 5976 = LCM of 5976 and 5972

Related Least Common Multiples of 5972

Related Least Common Multiples of 5976

Frequently Asked Questions on LCM of 5972 and 5976

1. What is the LCM of 5972 and 5976?

Answer: LCM of 5972 and 5976 is 8922168.

2. What are the Factors of 5972?

Answer: Factors of 5972 are 1, 2, 4, 1493, 2986, 5972. There are 6 integers that are factors of 5972. The greatest factor of 5972 is 5972.

3. What are the Factors of 5976?

Answer: Factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976. There are 24 integers that are factors of 5976. The greatest factor of 5976 is 5976.

4. How to Find the LCM of 5972 and 5976?

Answer:

Least Common Multiple of 5972 and 5976 = 8922168

Step 1: Find the prime factorization of 5972

5972 = 2 x 2 x 1493

Step 2: Find the prime factorization of 5976

5976 = 2 x 2 x 2 x 3 x 3 x 83

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

LCM = 8922168 = 2 x 2 x 2 x 3 x 3 x 83 x 1493

Step 4: Therefore, the least common multiple of 5972 and 5976 is 8922168.