Least Common Multiple of 2976 and 2979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2976 and 2979 the smallest integer that is 2955168 that is divisible by both numbers.

Least Common Multiple (LCM) of 2976 and 2979 is 2955168.

LCM(2976,2979) = 2955168

LCM of 2976 and 2979

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

LCM of:
and

Least Common Multiple of 2976 and 2979

LCM of 2976 and 2979 is 2955168

Least common multiple can be found by multiplying the highest exponent prime factors of 2976 and 2979. First we will calculate the prime factors of 2976 and 2979.

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

Prime Factorization of 2979


3 2979
3 993
331 331
1

Prime factors of 2979 are 3,331. Prime factorization of 2979 in exponential form is:

2979 = 32×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 2976 and 2979.

LCM(2976,2979) = 25×32×311×3311
LCM(2976,2979) = 2955168

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

Factors of 2979

List of positive integer factors of 2979 that divides 2979 without a remainder.

1, 3, 9, 331, 993, 2979

Least Common Multiple of 2976 and 2979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2976 and 2979, than apply into the LCM equation.

GCF(2976,2979) = 3
LCM(2976,2979) = ( 2976 × 2979) / 3
LCM(2976,2979) = 8865504 / 3
LCM(2976,2979) = 2955168

Properties of LCM 2976 and 2979

(i) The LCM of 2979 and 2976 is associative

LCM of 2976 and 2979 = LCM of 2979 and 2976

Related Least Common Multiples of 2976

Related Least Common Multiples of 2979

Frequently Asked Questions on LCM of 2976 and 2979

1. What is the LCM of 2976 and 2979?

Answer: LCM of 2976 and 2979 is 2955168.

2. 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.

3. What are the Factors of 2979?

Answer: Factors of 2979 are 1, 3, 9, 331, 993, 2979. There are 6 integers that are factors of 2979. The greatest factor of 2979 is 2979.

4. How to Find the LCM of 2976 and 2979?

Answer:

Least Common Multiple of 2976 and 2979 = 2955168

Step 1: Find the prime factorization of 2976

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

Step 2: Find the prime factorization of 2979

2979 = 3 x 3 x 331

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

LCM = 2955168 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 31 x 331

Step 4: Therefore, the least common multiple of 2976 and 2979 is 2955168.