Least Common Multiple of 1937 and 1942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1937 and 1942 the smallest integer that is 3761654 that is divisible by both numbers.

Least Common Multiple (LCM) of 1937 and 1942 is 3761654.

LCM(1937,1942) = 3761654

LCM of 1937 and 1942

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

LCM of:
and

Least Common Multiple of 1937 and 1942

LCM of 1937 and 1942 is 3761654

Least common multiple can be found by multiplying the highest exponent prime factors of 1937 and 1942. First we will calculate the prime factors of 1937 and 1942.

Prime Factorization of 1937


13 1937
149 149
1

Prime factors of 1937 are 13,149. Prime factorization of 1937 in exponential form is:

1937 = 131×1491

Prime Factorization of 1942


2 1942
971 971
1

Prime factors of 1942 are 2,971. Prime factorization of 1942 in exponential form is:

1942 = 21×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 1937 and 1942.

LCM(1937,1942) = 21×131×1491×9711
LCM(1937,1942) = 3761654

Factors of 1937

List of positive integer factors of 1937 that divides 1937 without a remainder.

1, 13, 149, 1937

Factors of 1942

List of positive integer factors of 1942 that divides 1942 without a remainder.

1, 2, 971, 1942

Least Common Multiple of 1937 and 1942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1937 and 1942, than apply into the LCM equation.

GCF(1937,1942) = 1
LCM(1937,1942) = ( 1937 × 1942) / 1
LCM(1937,1942) = 3761654 / 1
LCM(1937,1942) = 3761654

Properties of LCM 1937 and 1942

(i) The LCM of 1942 and 1937 is associative

LCM of 1937 and 1942 = LCM of 1942 and 1937

Related Least Common Multiples of 1937

Related Least Common Multiples of 1942

Frequently Asked Questions on LCM of 1937 and 1942

1. What is the LCM of 1937 and 1942?

Answer: LCM of 1937 and 1942 is 3761654.

2. What are the Factors of 1937?

Answer: Factors of 1937 are 1, 13, 149, 1937. There are 4 integers that are factors of 1937. The greatest factor of 1937 is 1937.

3. What are the Factors of 1942?

Answer: Factors of 1942 are 1, 2, 971, 1942. There are 4 integers that are factors of 1942. The greatest factor of 1942 is 1942.

4. How to Find the LCM of 1937 and 1942?

Answer:

Least Common Multiple of 1937 and 1942 = 3761654

Step 1: Find the prime factorization of 1937

1937 = 13 x 149

Step 2: Find the prime factorization of 1942

1942 = 2 x 971

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

LCM = 3761654 = 2 x 13 x 149 x 971

Step 4: Therefore, the least common multiple of 1937 and 1942 is 3761654.