Least Common Multiple of 2980 and 2985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2980 and 2985 the smallest integer that is 1779060 that is divisible by both numbers.

Least Common Multiple (LCM) of 2980 and 2985 is 1779060.

LCM(2980,2985) = 1779060

LCM of 2980 and 2985

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

LCM of:
and

Least Common Multiple of 2980 and 2985

LCM of 2980 and 2985 is 1779060

Least common multiple can be found by multiplying the highest exponent prime factors of 2980 and 2985. First we will calculate the prime factors of 2980 and 2985.

Prime Factorization of 2980


2 2980
2 1490
5 745
149 149
1

Prime factors of 2980 are 2, 5,149. Prime factorization of 2980 in exponential form is:

2980 = 22×51×1491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2980 and 2985.

LCM(2980,2985) = 22×31×51×1491×1991
LCM(2980,2985) = 1779060

Factors of 2980

List of positive integer factors of 2980 that divides 2980 without a remainder.

1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980

Factors of 2985

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

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

Least Common Multiple of 2980 and 2985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2980 and 2985, than apply into the LCM equation.

GCF(2980,2985) = 5
LCM(2980,2985) = ( 2980 × 2985) / 5
LCM(2980,2985) = 8895300 / 5
LCM(2980,2985) = 1779060

Properties of LCM 2980 and 2985

(i) The LCM of 2985 and 2980 is associative

LCM of 2980 and 2985 = LCM of 2985 and 2980

Related Least Common Multiples of 2980

Related Least Common Multiples of 2985

Frequently Asked Questions on LCM of 2980 and 2985

1. What is the LCM of 2980 and 2985?

Answer: LCM of 2980 and 2985 is 1779060.

2. What are the Factors of 2980?

Answer: Factors of 2980 are 1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980. There are 12 integers that are factors of 2980. The greatest factor of 2980 is 2980.

3. 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.

4. How to Find the LCM of 2980 and 2985?

Answer:

Least Common Multiple of 2980 and 2985 = 1779060

Step 1: Find the prime factorization of 2980

2980 = 2 x 2 x 5 x 149

Step 2: Find the prime factorization of 2985

2985 = 3 x 5 x 199

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

LCM = 1779060 = 2 x 2 x 3 x 5 x 149 x 199

Step 4: Therefore, the least common multiple of 2980 and 2985 is 1779060.