Least Common Multiple of 1970 and 1978

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 1978 the smallest integer that is 1948330 that is divisible by both numbers.

Least Common Multiple (LCM) of 1970 and 1978 is 1948330.

LCM(1970,1978) = 1948330

LCM of 1970 and 1978

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

LCM of:
and

Least Common Multiple of 1970 and 1978

LCM of 1970 and 1978 is 1948330

Least common multiple can be found by multiplying the highest exponent prime factors of 1970 and 1978. First we will calculate the prime factors of 1970 and 1978.

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 1978


2 1978
23 989
43 43
1

Prime factors of 1978 are 2, 23,43. Prime factorization of 1978 in exponential form is:

1978 = 21×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1970 and 1978.

LCM(1970,1978) = 21×51×231×431×1971
LCM(1970,1978) = 1948330

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 1978

List of positive integer factors of 1978 that divides 1978 without a remainder.

1, 2, 23, 43, 46, 86, 989, 1978

Least Common Multiple of 1970 and 1978 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 1978, than apply into the LCM equation.

GCF(1970,1978) = 2
LCM(1970,1978) = ( 1970 × 1978) / 2
LCM(1970,1978) = 3896660 / 2
LCM(1970,1978) = 1948330

Properties of LCM 1970 and 1978

(i) The LCM of 1978 and 1970 is associative

LCM of 1970 and 1978 = LCM of 1978 and 1970

Related Least Common Multiples of 1970

Related Least Common Multiples of 1978

Frequently Asked Questions on LCM of 1970 and 1978

1. What is the LCM of 1970 and 1978?

Answer: LCM of 1970 and 1978 is 1948330.

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 1978?

Answer: Factors of 1978 are 1, 2, 23, 43, 46, 86, 989, 1978. There are 8 integers that are factors of 1978. The greatest factor of 1978 is 1978.

4. How to Find the LCM of 1970 and 1978?

Answer:

Least Common Multiple of 1970 and 1978 = 1948330

Step 1: Find the prime factorization of 1970

1970 = 2 x 5 x 197

Step 2: Find the prime factorization of 1978

1978 = 2 x 23 x 43

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

LCM = 1948330 = 2 x 5 x 23 x 43 x 197

Step 4: Therefore, the least common multiple of 1970 and 1978 is 1948330.