Least Common Multiple of 1962 and 1966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1962 and 1966 the smallest integer that is 1928646 that is divisible by both numbers.

Least Common Multiple (LCM) of 1962 and 1966 is 1928646.

LCM(1962,1966) = 1928646

LCM of 1962 and 1966

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

LCM of:
and

Least Common Multiple of 1962 and 1966

LCM of 1962 and 1966 is 1928646

Least common multiple can be found by multiplying the highest exponent prime factors of 1962 and 1966. First we will calculate the prime factors of 1962 and 1966.

Prime Factorization of 1962


2 1962
3 981
3 327
109 109
1

Prime factors of 1962 are 2, 3,109. Prime factorization of 1962 in exponential form is:

1962 = 21×32×1091

Prime Factorization of 1966


2 1966
983 983
1

Prime factors of 1966 are 2,983. Prime factorization of 1966 in exponential form is:

1966 = 21×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 1962 and 1966.

LCM(1962,1966) = 21×32×1091×9831
LCM(1962,1966) = 1928646

Factors of 1962

List of positive integer factors of 1962 that divides 1962 without a remainder.

1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962

Factors of 1966

List of positive integer factors of 1966 that divides 1966 without a remainder.

1, 2, 983, 1966

Least Common Multiple of 1962 and 1966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1962 and 1966, than apply into the LCM equation.

GCF(1962,1966) = 2
LCM(1962,1966) = ( 1962 × 1966) / 2
LCM(1962,1966) = 3857292 / 2
LCM(1962,1966) = 1928646

Properties of LCM 1962 and 1966

(i) The LCM of 1966 and 1962 is associative

LCM of 1962 and 1966 = LCM of 1966 and 1962

Related Least Common Multiples of 1962

Related Least Common Multiples of 1966

Frequently Asked Questions on LCM of 1962 and 1966

1. What is the LCM of 1962 and 1966?

Answer: LCM of 1962 and 1966 is 1928646.

2. What are the Factors of 1962?

Answer: Factors of 1962 are 1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962. There are 12 integers that are factors of 1962. The greatest factor of 1962 is 1962.

3. What are the Factors of 1966?

Answer: Factors of 1966 are 1, 2, 983, 1966. There are 4 integers that are factors of 1966. The greatest factor of 1966 is 1966.

4. How to Find the LCM of 1962 and 1966?

Answer:

Least Common Multiple of 1962 and 1966 = 1928646

Step 1: Find the prime factorization of 1962

1962 = 2 x 3 x 3 x 109

Step 2: Find the prime factorization of 1966

1966 = 2 x 983

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

LCM = 1928646 = 2 x 3 x 3 x 109 x 983

Step 4: Therefore, the least common multiple of 1962 and 1966 is 1928646.