Least Common Multiple of 1985 and 1992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1985 and 1992 the smallest integer that is 3954120 that is divisible by both numbers.

Least Common Multiple (LCM) of 1985 and 1992 is 3954120.

LCM(1985,1992) = 3954120

LCM of 1985 and 1992

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

LCM of:
and

Least Common Multiple of 1985 and 1992

LCM of 1985 and 1992 is 3954120

Least common multiple can be found by multiplying the highest exponent prime factors of 1985 and 1992. First we will calculate the prime factors of 1985 and 1992.

Prime Factorization of 1985


5 1985
397 397
1

Prime factors of 1985 are 5,397. Prime factorization of 1985 in exponential form is:

1985 = 51×3971

Prime Factorization of 1992


2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 1992 are 2, 3,83. Prime factorization of 1992 in exponential form is:

1992 = 23×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1985 and 1992.

LCM(1985,1992) = 23×31×51×831×3971
LCM(1985,1992) = 3954120

Factors of 1985

List of positive integer factors of 1985 that divides 1985 without a remainder.

1, 5, 397, 1985

Factors of 1992

List of positive integer factors of 1992 that divides 1992 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992

Least Common Multiple of 1985 and 1992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1985 and 1992, than apply into the LCM equation.

GCF(1985,1992) = 1
LCM(1985,1992) = ( 1985 × 1992) / 1
LCM(1985,1992) = 3954120 / 1
LCM(1985,1992) = 3954120

Properties of LCM 1985 and 1992

(i) The LCM of 1992 and 1985 is associative

LCM of 1985 and 1992 = LCM of 1992 and 1985

Related Least Common Multiples of 1985

Related Least Common Multiples of 1992

Frequently Asked Questions on LCM of 1985 and 1992

1. What is the LCM of 1985 and 1992?

Answer: LCM of 1985 and 1992 is 3954120.

2. What are the Factors of 1985?

Answer: Factors of 1985 are 1, 5, 397, 1985. There are 4 integers that are factors of 1985. The greatest factor of 1985 is 1985.

3. What are the Factors of 1992?

Answer: Factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992. There are 16 integers that are factors of 1992. The greatest factor of 1992 is 1992.

4. How to Find the LCM of 1985 and 1992?

Answer:

Least Common Multiple of 1985 and 1992 = 3954120

Step 1: Find the prime factorization of 1985

1985 = 5 x 397

Step 2: Find the prime factorization of 1992

1992 = 2 x 2 x 2 x 3 x 83

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

LCM = 3954120 = 2 x 2 x 2 x 3 x 5 x 83 x 397

Step 4: Therefore, the least common multiple of 1985 and 1992 is 3954120.