Least Common Multiple of 2980 and 2984

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 2984 the smallest integer that is 2223080 that is divisible by both numbers.

Least Common Multiple (LCM) of 2980 and 2984 is 2223080.

LCM(2980,2984) = 2223080

LCM of 2980 and 2984

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

LCM of:
and

Least Common Multiple of 2980 and 2984

LCM of 2980 and 2984 is 2223080

Least common multiple can be found by multiplying the highest exponent prime factors of 2980 and 2984. First we will calculate the prime factors of 2980 and 2984.

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 2984


2 2984
2 1492
2 746
373 373
1

Prime factors of 2984 are 2,373. Prime factorization of 2984 in exponential form is:

2984 = 23×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 2980 and 2984.

LCM(2980,2984) = 23×51×1491×3731
LCM(2980,2984) = 2223080

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 2984

List of positive integer factors of 2984 that divides 2984 without a remainder.

1, 2, 4, 8, 373, 746, 1492, 2984

Least Common Multiple of 2980 and 2984 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 2984, than apply into the LCM equation.

GCF(2980,2984) = 4
LCM(2980,2984) = ( 2980 × 2984) / 4
LCM(2980,2984) = 8892320 / 4
LCM(2980,2984) = 2223080

Properties of LCM 2980 and 2984

(i) The LCM of 2984 and 2980 is associative

LCM of 2980 and 2984 = LCM of 2984 and 2980

Related Least Common Multiples of 2980

Related Least Common Multiples of 2984

Frequently Asked Questions on LCM of 2980 and 2984

1. What is the LCM of 2980 and 2984?

Answer: LCM of 2980 and 2984 is 2223080.

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 2984?

Answer: Factors of 2984 are 1, 2, 4, 8, 373, 746, 1492, 2984. There are 8 integers that are factors of 2984. The greatest factor of 2984 is 2984.

4. How to Find the LCM of 2980 and 2984?

Answer:

Least Common Multiple of 2980 and 2984 = 2223080

Step 1: Find the prime factorization of 2980

2980 = 2 x 2 x 5 x 149

Step 2: Find the prime factorization of 2984

2984 = 2 x 2 x 2 x 373

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

LCM = 2223080 = 2 x 2 x 2 x 5 x 149 x 373

Step 4: Therefore, the least common multiple of 2980 and 2984 is 2223080.