Least Common Multiple of 5970 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 5970 and 5976 the smallest integer that is 5946120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5970 and 5976 is 5946120.

LCM(5970,5976) = 5946120

LCM of 5970 and 5976

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

LCM of:
and

Least Common Multiple of 5970 and 5976

LCM of 5970 and 5976 is 5946120

Least common multiple can be found by multiplying the highest exponent prime factors of 5970 and 5976. First we will calculate the prime factors of 5970 and 5976.

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 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 5970 and 5976.

LCM(5970,5976) = 23×32×51×831×1991
LCM(5970,5976) = 5946120

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 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 5970 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 5970 and 5976, than apply into the LCM equation.

GCF(5970,5976) = 6
LCM(5970,5976) = ( 5970 × 5976) / 6
LCM(5970,5976) = 35676720 / 6
LCM(5970,5976) = 5946120

Properties of LCM 5970 and 5976

(i) The LCM of 5976 and 5970 is associative

LCM of 5970 and 5976 = LCM of 5976 and 5970

Related Least Common Multiples of 5970

Related Least Common Multiples of 5976

Frequently Asked Questions on LCM of 5970 and 5976

1. What is the LCM of 5970 and 5976?

Answer: LCM of 5970 and 5976 is 5946120.

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 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 5970 and 5976?

Answer:

Least Common Multiple of 5970 and 5976 = 5946120

Step 1: Find the prime factorization of 5970

5970 = 2 x 3 x 5 x 199

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 = 5946120 = 2 x 2 x 2 x 3 x 3 x 5 x 83 x 199

Step 4: Therefore, the least common multiple of 5970 and 5976 is 5946120.