Least Common Multiple of 2973 and 2980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2973 and 2980 the smallest integer that is 8859540 that is divisible by both numbers.

Least Common Multiple (LCM) of 2973 and 2980 is 8859540.

LCM(2973,2980) = 8859540

LCM of 2973 and 2980

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

LCM of:
and

Least Common Multiple of 2973 and 2980

LCM of 2973 and 2980 is 8859540

Least common multiple can be found by multiplying the highest exponent prime factors of 2973 and 2980. First we will calculate the prime factors of 2973 and 2980.

Prime Factorization of 2973


3 2973
991 991
1

Prime factors of 2973 are 3,991. Prime factorization of 2973 in exponential form is:

2973 = 31×9911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2973 and 2980.

LCM(2973,2980) = 22×31×51×1491×9911
LCM(2973,2980) = 8859540

Factors of 2973

List of positive integer factors of 2973 that divides 2973 without a remainder.

1, 3, 991, 2973

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

Least Common Multiple of 2973 and 2980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2973 and 2980, than apply into the LCM equation.

GCF(2973,2980) = 1
LCM(2973,2980) = ( 2973 × 2980) / 1
LCM(2973,2980) = 8859540 / 1
LCM(2973,2980) = 8859540

Properties of LCM 2973 and 2980

(i) The LCM of 2980 and 2973 is associative

LCM of 2973 and 2980 = LCM of 2980 and 2973

Related Least Common Multiples of 2973

Related Least Common Multiples of 2980

Frequently Asked Questions on LCM of 2973 and 2980

1. What is the LCM of 2973 and 2980?

Answer: LCM of 2973 and 2980 is 8859540.

2. What are the Factors of 2973?

Answer: Factors of 2973 are 1, 3, 991, 2973. There are 4 integers that are factors of 2973. The greatest factor of 2973 is 2973.

3. 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.

4. How to Find the LCM of 2973 and 2980?

Answer:

Least Common Multiple of 2973 and 2980 = 8859540

Step 1: Find the prime factorization of 2973

2973 = 3 x 991

Step 2: Find the prime factorization of 2980

2980 = 2 x 2 x 5 x 149

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

LCM = 8859540 = 2 x 2 x 3 x 5 x 149 x 991

Step 4: Therefore, the least common multiple of 2973 and 2980 is 8859540.