Least Common Multiple of 2985 and 2992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2985 and 2992 the smallest integer that is 8931120 that is divisible by both numbers.

Least Common Multiple (LCM) of 2985 and 2992 is 8931120.

LCM(2985,2992) = 8931120

LCM of 2985 and 2992

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

LCM of:
and

Least Common Multiple of 2985 and 2992

LCM of 2985 and 2992 is 8931120

Least common multiple can be found by multiplying the highest exponent prime factors of 2985 and 2992. First we will calculate the prime factors of 2985 and 2992.

Prime Factorization of 2985


3 2985
5 995
199 199
1

Prime factors of 2985 are 3, 5,199. Prime factorization of 2985 in exponential form is:

2985 = 31×51×1991

Prime Factorization of 2992


2 2992
2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 2992 are 2, 11,17. Prime factorization of 2992 in exponential form is:

2992 = 24×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2985 and 2992.

LCM(2985,2992) = 24×31×51×111×171×1991
LCM(2985,2992) = 8931120

Factors of 2985

List of positive integer factors of 2985 that divides 2985 without a remainder.

1, 3, 5, 15, 199, 597, 995, 2985

Factors of 2992

List of positive integer factors of 2992 that divides 2992 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992

Least Common Multiple of 2985 and 2992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2985 and 2992, than apply into the LCM equation.

GCF(2985,2992) = 1
LCM(2985,2992) = ( 2985 × 2992) / 1
LCM(2985,2992) = 8931120 / 1
LCM(2985,2992) = 8931120

Properties of LCM 2985 and 2992

(i) The LCM of 2992 and 2985 is associative

LCM of 2985 and 2992 = LCM of 2992 and 2985

Related Least Common Multiples of 2985

Related Least Common Multiples of 2992

Frequently Asked Questions on LCM of 2985 and 2992

1. What is the LCM of 2985 and 2992?

Answer: LCM of 2985 and 2992 is 8931120.

2. What are the Factors of 2985?

Answer: Factors of 2985 are 1, 3, 5, 15, 199, 597, 995, 2985. There are 8 integers that are factors of 2985. The greatest factor of 2985 is 2985.

3. What are the Factors of 2992?

Answer: Factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992. There are 20 integers that are factors of 2992. The greatest factor of 2992 is 2992.

4. How to Find the LCM of 2985 and 2992?

Answer:

Least Common Multiple of 2985 and 2992 = 8931120

Step 1: Find the prime factorization of 2985

2985 = 3 x 5 x 199

Step 2: Find the prime factorization of 2992

2992 = 2 x 2 x 2 x 2 x 11 x 17

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

LCM = 8931120 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 17 x 199

Step 4: Therefore, the least common multiple of 2985 and 2992 is 8931120.