Least Common Multiple of 1970 and 1974

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 1974 the smallest integer that is 1944390 that is divisible by both numbers.

Least Common Multiple (LCM) of 1970 and 1974 is 1944390.

LCM(1970,1974) = 1944390

LCM of 1970 and 1974

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

LCM of:
and

Least Common Multiple of 1970 and 1974

LCM of 1970 and 1974 is 1944390

Least common multiple can be found by multiplying the highest exponent prime factors of 1970 and 1974. First we will calculate the prime factors of 1970 and 1974.

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 1974


2 1974
3 987
7 329
47 47
1

Prime factors of 1974 are 2, 3, 7,47. Prime factorization of 1974 in exponential form is:

1974 = 21×31×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1970 and 1974.

LCM(1970,1974) = 21×31×51×71×471×1971
LCM(1970,1974) = 1944390

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 1974

List of positive integer factors of 1974 that divides 1974 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974

Least Common Multiple of 1970 and 1974 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 1974, than apply into the LCM equation.

GCF(1970,1974) = 2
LCM(1970,1974) = ( 1970 × 1974) / 2
LCM(1970,1974) = 3888780 / 2
LCM(1970,1974) = 1944390

Properties of LCM 1970 and 1974

(i) The LCM of 1974 and 1970 is associative

LCM of 1970 and 1974 = LCM of 1974 and 1970

Related Least Common Multiples of 1970

Related Least Common Multiples of 1974

Frequently Asked Questions on LCM of 1970 and 1974

1. What is the LCM of 1970 and 1974?

Answer: LCM of 1970 and 1974 is 1944390.

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 1974?

Answer: Factors of 1974 are 1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974. There are 16 integers that are factors of 1974. The greatest factor of 1974 is 1974.

4. How to Find the LCM of 1970 and 1974?

Answer:

Least Common Multiple of 1970 and 1974 = 1944390

Step 1: Find the prime factorization of 1970

1970 = 2 x 5 x 197

Step 2: Find the prime factorization of 1974

1974 = 2 x 3 x 7 x 47

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

LCM = 1944390 = 2 x 3 x 5 x 7 x 47 x 197

Step 4: Therefore, the least common multiple of 1970 and 1974 is 1944390.