Least Common Multiple of 5970 and 5977

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 5977 the smallest integer that is 35682690 that is divisible by both numbers.

Least Common Multiple (LCM) of 5970 and 5977 is 35682690.

LCM(5970,5977) = 35682690

LCM of 5970 and 5977

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

LCM of:
and

Least Common Multiple of 5970 and 5977

LCM of 5970 and 5977 is 35682690

Least common multiple can be found by multiplying the highest exponent prime factors of 5970 and 5977. First we will calculate the prime factors of 5970 and 5977.

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 5977


43 5977
139 139
1

Prime factors of 5977 are 43,139. Prime factorization of 5977 in exponential form is:

5977 = 431×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5970 and 5977.

LCM(5970,5977) = 21×31×51×431×1391×1991
LCM(5970,5977) = 35682690

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 5977

List of positive integer factors of 5977 that divides 5977 without a remainder.

1, 43, 139, 5977

Least Common Multiple of 5970 and 5977 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 5977, than apply into the LCM equation.

GCF(5970,5977) = 1
LCM(5970,5977) = ( 5970 × 5977) / 1
LCM(5970,5977) = 35682690 / 1
LCM(5970,5977) = 35682690

Properties of LCM 5970 and 5977

(i) The LCM of 5977 and 5970 is associative

LCM of 5970 and 5977 = LCM of 5977 and 5970

Related Least Common Multiples of 5970

Related Least Common Multiples of 5977

Frequently Asked Questions on LCM of 5970 and 5977

1. What is the LCM of 5970 and 5977?

Answer: LCM of 5970 and 5977 is 35682690.

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 5977?

Answer: Factors of 5977 are 1, 43, 139, 5977. There are 4 integers that are factors of 5977. The greatest factor of 5977 is 5977.

4. How to Find the LCM of 5970 and 5977?

Answer:

Least Common Multiple of 5970 and 5977 = 35682690

Step 1: Find the prime factorization of 5970

5970 = 2 x 3 x 5 x 199

Step 2: Find the prime factorization of 5977

5977 = 43 x 139

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

LCM = 35682690 = 2 x 3 x 5 x 43 x 139 x 199

Step 4: Therefore, the least common multiple of 5970 and 5977 is 35682690.