Least Common Multiple of 1945 and 1949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1945 and 1949 the smallest integer that is 3790805 that is divisible by both numbers.

Least Common Multiple (LCM) of 1945 and 1949 is 3790805.

LCM(1945,1949) = 3790805

LCM of 1945 and 1949

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

LCM of:
and

Least Common Multiple of 1945 and 1949

LCM of 1945 and 1949 is 3790805

Least common multiple can be found by multiplying the highest exponent prime factors of 1945 and 1949. First we will calculate the prime factors of 1945 and 1949.

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

Prime Factorization of 1949


1949 1949
1

Prime factors of 1949 are 1949. Prime factorization of 1949 in exponential form is:

1949 = 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 1945 and 1949.

LCM(1945,1949) = 51×3891×19491
LCM(1945,1949) = 3790805

Factors of 1945

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

1, 5, 389, 1945

Factors of 1949

List of positive integer factors of 1949 that divides 1949 without a remainder.

1, 1949

Least Common Multiple of 1945 and 1949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1945 and 1949, than apply into the LCM equation.

GCF(1945,1949) = 1
LCM(1945,1949) = ( 1945 × 1949) / 1
LCM(1945,1949) = 3790805 / 1
LCM(1945,1949) = 3790805

Properties of LCM 1945 and 1949

(i) The LCM of 1949 and 1945 is associative

LCM of 1945 and 1949 = LCM of 1949 and 1945

Related Least Common Multiples of 1945

Related Least Common Multiples of 1949

Frequently Asked Questions on LCM of 1945 and 1949

1. What is the LCM of 1945 and 1949?

Answer: LCM of 1945 and 1949 is 3790805.

2. 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.

3. What are the Factors of 1949?

Answer: Factors of 1949 are 1, 1949. There are 2 integers that are factors of 1949. The greatest factor of 1949 is 1949.

4. How to Find the LCM of 1945 and 1949?

Answer:

Least Common Multiple of 1945 and 1949 = 3790805

Step 1: Find the prime factorization of 1945

1945 = 5 x 389

Step 2: Find the prime factorization of 1949

1949 = 1949

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

LCM = 3790805 = 5 x 389 x 1949

Step 4: Therefore, the least common multiple of 1945 and 1949 is 3790805.