Least Common Multiple of 1970 and 1971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1970 and 1971 the smallest integer that is 3882870 that is divisible by both numbers.

Least Common Multiple (LCM) of 1970 and 1971 is 3882870.

LCM(1970,1971) = 3882870

LCM of 1970 and 1971

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

LCM of:
and

Least Common Multiple of 1970 and 1971

LCM of 1970 and 1971 is 3882870

Least common multiple can be found by multiplying the highest exponent prime factors of 1970 and 1971. First we will calculate the prime factors of 1970 and 1971.

Prime Factorization of 1970


2 1970
5 985
197 197
1

Prime factors of 1970 are 2, 5,197. Prime factorization of 1970 in exponential form is:

1970 = 21×51×1971

Prime Factorization of 1971


3 1971
3 657
3 219
73 73
1

Prime factors of 1971 are 3,73. Prime factorization of 1971 in exponential form is:

1971 = 33×731

Now multiplying the highest exponent prime factors to calculate the LCM of 1970 and 1971.

LCM(1970,1971) = 21×33×51×731×1971
LCM(1970,1971) = 3882870

Factors of 1970

List of positive integer factors of 1970 that divides 1970 without a remainder.

1, 2, 5, 10, 197, 394, 985, 1970

Factors of 1971

List of positive integer factors of 1971 that divides 1971 without a remainder.

1, 3, 9, 27, 73, 219, 657, 1971

Least Common Multiple of 1970 and 1971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1970 and 1971, than apply into the LCM equation.

GCF(1970,1971) = 1
LCM(1970,1971) = ( 1970 × 1971) / 1
LCM(1970,1971) = 3882870 / 1
LCM(1970,1971) = 3882870

Properties of LCM 1970 and 1971

(i) The LCM of 1971 and 1970 is associative

LCM of 1970 and 1971 = LCM of 1971 and 1970

Related Least Common Multiples of 1970

Related Least Common Multiples of 1971

Frequently Asked Questions on LCM of 1970 and 1971

1. What is the LCM of 1970 and 1971?

Answer: LCM of 1970 and 1971 is 3882870.

2. What are the Factors of 1970?

Answer: Factors of 1970 are 1, 2, 5, 10, 197, 394, 985, 1970. There are 8 integers that are factors of 1970. The greatest factor of 1970 is 1970.

3. What are the Factors of 1971?

Answer: Factors of 1971 are 1, 3, 9, 27, 73, 219, 657, 1971. There are 8 integers that are factors of 1971. The greatest factor of 1971 is 1971.

4. How to Find the LCM of 1970 and 1971?

Answer:

Least Common Multiple of 1970 and 1971 = 3882870

Step 1: Find the prime factorization of 1970

1970 = 2 x 5 x 197

Step 2: Find the prime factorization of 1971

1971 = 3 x 3 x 3 x 73

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

LCM = 3882870 = 2 x 3 x 3 x 3 x 5 x 73 x 197

Step 4: Therefore, the least common multiple of 1970 and 1971 is 3882870.