Least Common Multiple of 985 and 988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 985 and 988 the smallest integer that is 973180 that is divisible by both numbers.

Least Common Multiple (LCM) of 985 and 988 is 973180.

LCM(985,988) = 973180

LCM of 985 and 988

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

LCM of:
and

Least Common Multiple of 985 and 988

LCM of 985 and 988 is 973180

Least common multiple can be found by multiplying the highest exponent prime factors of 985 and 988. First we will calculate the prime factors of 985 and 988.

Prime Factorization of 985


5 985
197 197
1

Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:

985 = 51×1971

Prime Factorization of 988


2 988
2 494
13 247
19 19
1

Prime factors of 988 are 2, 13,19. Prime factorization of 988 in exponential form is:

988 = 22×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 985 and 988.

LCM(985,988) = 22×51×131×191×1971
LCM(985,988) = 973180

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Least Common Multiple of 985 and 988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 985 and 988, than apply into the LCM equation.

GCF(985,988) = 1
LCM(985,988) = ( 985 × 988) / 1
LCM(985,988) = 973180 / 1
LCM(985,988) = 973180

Properties of LCM 985 and 988

(i) The LCM of 988 and 985 is associative

LCM of 985 and 988 = LCM of 988 and 985

Frequently Asked Questions on LCM of 985 and 988

1. What is the LCM of 985 and 988?

Answer: LCM of 985 and 988 is 973180.

2. What are the Factors of 985?

Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.

3. What are the Factors of 988?

Answer: Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. There are 12 integers that are factors of 988. The greatest factor of 988 is 988.

4. How to Find the LCM of 985 and 988?

Answer:

Least Common Multiple of 985 and 988 = 973180

Step 1: Find the prime factorization of 985

985 = 5 x 197

Step 2: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

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

LCM = 973180 = 2 x 2 x 5 x 13 x 19 x 197

Step 4: Therefore, the least common multiple of 985 and 988 is 973180.