Least Common Multiple of 1985 and 1990

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 1990 the smallest integer that is 790030 that is divisible by both numbers.

Least Common Multiple (LCM) of 1985 and 1990 is 790030.

LCM(1985,1990) = 790030

LCM of 1985 and 1990

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

LCM of:
and

Least Common Multiple of 1985 and 1990

LCM of 1985 and 1990 is 790030

Least common multiple can be found by multiplying the highest exponent prime factors of 1985 and 1990. First we will calculate the prime factors of 1985 and 1990.

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 1990


2 1990
5 995
199 199
1

Prime factors of 1990 are 2, 5,199. Prime factorization of 1990 in exponential form is:

1990 = 21×51×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 1985 and 1990.

LCM(1985,1990) = 21×51×1991×3971
LCM(1985,1990) = 790030

Factors of 1985

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

1, 5, 397, 1985

Factors of 1990

List of positive integer factors of 1990 that divides 1990 without a remainder.

1, 2, 5, 10, 199, 398, 995, 1990

Least Common Multiple of 1985 and 1990 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 1990, than apply into the LCM equation.

GCF(1985,1990) = 5
LCM(1985,1990) = ( 1985 × 1990) / 5
LCM(1985,1990) = 3950150 / 5
LCM(1985,1990) = 790030

Properties of LCM 1985 and 1990

(i) The LCM of 1990 and 1985 is associative

LCM of 1985 and 1990 = LCM of 1990 and 1985

Related Least Common Multiples of 1985

Related Least Common Multiples of 1990

Frequently Asked Questions on LCM of 1985 and 1990

1. What is the LCM of 1985 and 1990?

Answer: LCM of 1985 and 1990 is 790030.

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 1990?

Answer: Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990. There are 8 integers that are factors of 1990. The greatest factor of 1990 is 1990.

4. How to Find the LCM of 1985 and 1990?

Answer:

Least Common Multiple of 1985 and 1990 = 790030

Step 1: Find the prime factorization of 1985

1985 = 5 x 397

Step 2: Find the prime factorization of 1990

1990 = 2 x 5 x 199

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

LCM = 790030 = 2 x 5 x 199 x 397

Step 4: Therefore, the least common multiple of 1985 and 1990 is 790030.