Least Common Multiple of 1937 and 1945

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 1945 the smallest integer that is 3767465 that is divisible by both numbers.

Least Common Multiple (LCM) of 1937 and 1945 is 3767465.

LCM(1937,1945) = 3767465

LCM of 1937 and 1945

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

LCM of:
and

Least Common Multiple of 1937 and 1945

LCM of 1937 and 1945 is 3767465

Least common multiple can be found by multiplying the highest exponent prime factors of 1937 and 1945. First we will calculate the prime factors of 1937 and 1945.

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 1945


5 1945
389 389
1

Prime factors of 1945 are 5,389. Prime factorization of 1945 in exponential form is:

1945 = 51×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 1937 and 1945.

LCM(1937,1945) = 51×131×1491×3891
LCM(1937,1945) = 3767465

Factors of 1937

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

1, 13, 149, 1937

Factors of 1945

List of positive integer factors of 1945 that divides 1945 without a remainder.

1, 5, 389, 1945

Least Common Multiple of 1937 and 1945 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 1945, than apply into the LCM equation.

GCF(1937,1945) = 1
LCM(1937,1945) = ( 1937 × 1945) / 1
LCM(1937,1945) = 3767465 / 1
LCM(1937,1945) = 3767465

Properties of LCM 1937 and 1945

(i) The LCM of 1945 and 1937 is associative

LCM of 1937 and 1945 = LCM of 1945 and 1937

Related Least Common Multiples of 1937

Related Least Common Multiples of 1945

Frequently Asked Questions on LCM of 1937 and 1945

1. What is the LCM of 1937 and 1945?

Answer: LCM of 1937 and 1945 is 3767465.

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 1945?

Answer: Factors of 1945 are 1, 5, 389, 1945. There are 4 integers that are factors of 1945. The greatest factor of 1945 is 1945.

4. How to Find the LCM of 1937 and 1945?

Answer:

Least Common Multiple of 1937 and 1945 = 3767465

Step 1: Find the prime factorization of 1937

1937 = 13 x 149

Step 2: Find the prime factorization of 1945

1945 = 5 x 389

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

LCM = 3767465 = 5 x 13 x 149 x 389

Step 4: Therefore, the least common multiple of 1937 and 1945 is 3767465.