Least Common Multiple of 977 and 980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 977 and 980 the smallest integer that is 957460 that is divisible by both numbers.

Least Common Multiple (LCM) of 977 and 980 is 957460.

LCM(977,980) = 957460

LCM of 977 and 980

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

LCM of:
and

Least Common Multiple of 977 and 980

LCM of 977 and 980 is 957460

Least common multiple can be found by multiplying the highest exponent prime factors of 977 and 980. First we will calculate the prime factors of 977 and 980.

Prime Factorization of 977


977 977
1

Prime factors of 977 are 977. Prime factorization of 977 in exponential form is:

977 = 9771

Prime Factorization of 980


2 980
2 490
5 245
7 49
7 7
1

Prime factors of 980 are 2, 5,7. Prime factorization of 980 in exponential form is:

980 = 22×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 977 and 980.

LCM(977,980) = 22×51×72×9771
LCM(977,980) = 957460

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1, 977

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Least Common Multiple of 977 and 980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 977 and 980, than apply into the LCM equation.

GCF(977,980) = 1
LCM(977,980) = ( 977 × 980) / 1
LCM(977,980) = 957460 / 1
LCM(977,980) = 957460

Properties of LCM 977 and 980

(i) The LCM of 980 and 977 is associative

LCM of 977 and 980 = LCM of 980 and 977

Related Least Common Multiples of 977

Related Least Common Multiples of 980

Frequently Asked Questions on LCM of 977 and 980

1. What is the LCM of 977 and 980?

Answer: LCM of 977 and 980 is 957460.

2. What are the Factors of 977?

Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.

3. What are the Factors of 980?

Answer: Factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980. There are 18 integers that are factors of 980. The greatest factor of 980 is 980.

4. How to Find the LCM of 977 and 980?

Answer:

Least Common Multiple of 977 and 980 = 957460

Step 1: Find the prime factorization of 977

977 = 977

Step 2: Find the prime factorization of 980

980 = 2 x 2 x 5 x 7 x 7

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

LCM = 957460 = 2 x 2 x 5 x 7 x 7 x 977

Step 4: Therefore, the least common multiple of 977 and 980 is 957460.