Least Common Multiple of 977 and 981

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 981 the smallest integer that is 958437 that is divisible by both numbers.

Least Common Multiple (LCM) of 977 and 981 is 958437.

LCM(977,981) = 958437

LCM of 977 and 981

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

LCM of:
and

Least Common Multiple of 977 and 981

LCM of 977 and 981 is 958437

Least common multiple can be found by multiplying the highest exponent prime factors of 977 and 981. First we will calculate the prime factors of 977 and 981.

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 981


3 981
3 327
109 109
1

Prime factors of 981 are 3,109. Prime factorization of 981 in exponential form is:

981 = 32×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 977 and 981.

LCM(977,981) = 32×1091×9771
LCM(977,981) = 958437

Factors of 977

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

1, 977

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Least Common Multiple of 977 and 981 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 981, than apply into the LCM equation.

GCF(977,981) = 1
LCM(977,981) = ( 977 × 981) / 1
LCM(977,981) = 958437 / 1
LCM(977,981) = 958437

Properties of LCM 977 and 981

(i) The LCM of 981 and 977 is associative

LCM of 977 and 981 = LCM of 981 and 977

Related Least Common Multiples of 977

Related Least Common Multiples of 981

Frequently Asked Questions on LCM of 977 and 981

1. What is the LCM of 977 and 981?

Answer: LCM of 977 and 981 is 958437.

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 981?

Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.

4. How to Find the LCM of 977 and 981?

Answer:

Least Common Multiple of 977 and 981 = 958437

Step 1: Find the prime factorization of 977

977 = 977

Step 2: Find the prime factorization of 981

981 = 3 x 3 x 109

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

LCM = 958437 = 3 x 3 x 109 x 977

Step 4: Therefore, the least common multiple of 977 and 981 is 958437.