Least Common Multiple of 1948 and 1955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1948 and 1955 the smallest integer that is 3808340 that is divisible by both numbers.

Least Common Multiple (LCM) of 1948 and 1955 is 3808340.

LCM(1948,1955) = 3808340

LCM of 1948 and 1955

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

LCM of:
and

Least Common Multiple of 1948 and 1955

LCM of 1948 and 1955 is 3808340

Least common multiple can be found by multiplying the highest exponent prime factors of 1948 and 1955. First we will calculate the prime factors of 1948 and 1955.

Prime Factorization of 1948


2 1948
2 974
487 487
1

Prime factors of 1948 are 2,487. Prime factorization of 1948 in exponential form is:

1948 = 22×4871

Prime Factorization of 1955


5 1955
17 391
23 23
1

Prime factors of 1955 are 5, 17,23. Prime factorization of 1955 in exponential form is:

1955 = 51×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1948 and 1955.

LCM(1948,1955) = 22×51×171×231×4871
LCM(1948,1955) = 3808340

Factors of 1948

List of positive integer factors of 1948 that divides 1948 without a remainder.

1, 2, 4, 487, 974, 1948

Factors of 1955

List of positive integer factors of 1955 that divides 1955 without a remainder.

1, 5, 17, 23, 85, 115, 391, 1955

Least Common Multiple of 1948 and 1955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1948 and 1955, than apply into the LCM equation.

GCF(1948,1955) = 1
LCM(1948,1955) = ( 1948 × 1955) / 1
LCM(1948,1955) = 3808340 / 1
LCM(1948,1955) = 3808340

Properties of LCM 1948 and 1955

(i) The LCM of 1955 and 1948 is associative

LCM of 1948 and 1955 = LCM of 1955 and 1948

Related Least Common Multiples of 1948

Related Least Common Multiples of 1955

Frequently Asked Questions on LCM of 1948 and 1955

1. What is the LCM of 1948 and 1955?

Answer: LCM of 1948 and 1955 is 3808340.

2. What are the Factors of 1948?

Answer: Factors of 1948 are 1, 2, 4, 487, 974, 1948. There are 6 integers that are factors of 1948. The greatest factor of 1948 is 1948.

3. What are the Factors of 1955?

Answer: Factors of 1955 are 1, 5, 17, 23, 85, 115, 391, 1955. There are 8 integers that are factors of 1955. The greatest factor of 1955 is 1955.

4. How to Find the LCM of 1948 and 1955?

Answer:

Least Common Multiple of 1948 and 1955 = 3808340

Step 1: Find the prime factorization of 1948

1948 = 2 x 2 x 487

Step 2: Find the prime factorization of 1955

1955 = 5 x 17 x 23

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

LCM = 3808340 = 2 x 2 x 5 x 17 x 23 x 487

Step 4: Therefore, the least common multiple of 1948 and 1955 is 3808340.