Least Common Multiple of 1970 and 1976

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 1976 the smallest integer that is 1946360 that is divisible by both numbers.

Least Common Multiple (LCM) of 1970 and 1976 is 1946360.

LCM(1970,1976) = 1946360

LCM of 1970 and 1976

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

LCM of:
and

Least Common Multiple of 1970 and 1976

LCM of 1970 and 1976 is 1946360

Least common multiple can be found by multiplying the highest exponent prime factors of 1970 and 1976. First we will calculate the prime factors of 1970 and 1976.

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 1976


2 1976
2 988
2 494
13 247
19 19
1

Prime factors of 1976 are 2, 13,19. Prime factorization of 1976 in exponential form is:

1976 = 23×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1970 and 1976.

LCM(1970,1976) = 23×51×131×191×1971
LCM(1970,1976) = 1946360

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 1976

List of positive integer factors of 1976 that divides 1976 without a remainder.

1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976

Least Common Multiple of 1970 and 1976 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 1976, than apply into the LCM equation.

GCF(1970,1976) = 2
LCM(1970,1976) = ( 1970 × 1976) / 2
LCM(1970,1976) = 3892720 / 2
LCM(1970,1976) = 1946360

Properties of LCM 1970 and 1976

(i) The LCM of 1976 and 1970 is associative

LCM of 1970 and 1976 = LCM of 1976 and 1970

Related Least Common Multiples of 1970

Related Least Common Multiples of 1976

Frequently Asked Questions on LCM of 1970 and 1976

1. What is the LCM of 1970 and 1976?

Answer: LCM of 1970 and 1976 is 1946360.

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 1976?

Answer: Factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976. There are 16 integers that are factors of 1976. The greatest factor of 1976 is 1976.

4. How to Find the LCM of 1970 and 1976?

Answer:

Least Common Multiple of 1970 and 1976 = 1946360

Step 1: Find the prime factorization of 1970

1970 = 2 x 5 x 197

Step 2: Find the prime factorization of 1976

1976 = 2 x 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 = 1946360 = 2 x 2 x 2 x 5 x 13 x 19 x 197

Step 4: Therefore, the least common multiple of 1970 and 1976 is 1946360.