Least Common Multiple of 2971 and 2976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2971 and 2976 the smallest integer that is 8841696 that is divisible by both numbers.

Least Common Multiple (LCM) of 2971 and 2976 is 8841696.

LCM(2971,2976) = 8841696

LCM of 2971 and 2976

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

LCM of:
and

Least Common Multiple of 2971 and 2976

LCM of 2971 and 2976 is 8841696

Least common multiple can be found by multiplying the highest exponent prime factors of 2971 and 2976. First we will calculate the prime factors of 2971 and 2976.

Prime Factorization of 2971


2971 2971
1

Prime factors of 2971 are 2971. Prime factorization of 2971 in exponential form is:

2971 = 29711

Prime Factorization of 2976


2 2976
2 1488
2 744
2 372
2 186
3 93
31 31
1

Prime factors of 2976 are 2, 3,31. Prime factorization of 2976 in exponential form is:

2976 = 25×31×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2971 and 2976.

LCM(2971,2976) = 25×31×311×29711
LCM(2971,2976) = 8841696

Factors of 2971

List of positive integer factors of 2971 that divides 2971 without a remainder.

1, 2971

Factors of 2976

List of positive integer factors of 2976 that divides 2976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976

Least Common Multiple of 2971 and 2976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2971 and 2976, than apply into the LCM equation.

GCF(2971,2976) = 1
LCM(2971,2976) = ( 2971 × 2976) / 1
LCM(2971,2976) = 8841696 / 1
LCM(2971,2976) = 8841696

Properties of LCM 2971 and 2976

(i) The LCM of 2976 and 2971 is associative

LCM of 2971 and 2976 = LCM of 2976 and 2971

Related Least Common Multiples of 2971

Related Least Common Multiples of 2976

Frequently Asked Questions on LCM of 2971 and 2976

1. What is the LCM of 2971 and 2976?

Answer: LCM of 2971 and 2976 is 8841696.

2. What are the Factors of 2971?

Answer: Factors of 2971 are 1, 2971. There are 2 integers that are factors of 2971. The greatest factor of 2971 is 2971.

3. What are the Factors of 2976?

Answer: Factors of 2976 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488, 2976. There are 24 integers that are factors of 2976. The greatest factor of 2976 is 2976.

4. How to Find the LCM of 2971 and 2976?

Answer:

Least Common Multiple of 2971 and 2976 = 8841696

Step 1: Find the prime factorization of 2971

2971 = 2971

Step 2: Find the prime factorization of 2976

2976 = 2 x 2 x 2 x 2 x 2 x 3 x 31

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

LCM = 8841696 = 2 x 2 x 2 x 2 x 2 x 3 x 31 x 2971

Step 4: Therefore, the least common multiple of 2971 and 2976 is 8841696.