Least Common Multiple of 1942 and 1948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1942 and 1948 the smallest integer that is 1891508 that is divisible by both numbers.

Least Common Multiple (LCM) of 1942 and 1948 is 1891508.

LCM(1942,1948) = 1891508

LCM of 1942 and 1948

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

LCM of:
and

Least Common Multiple of 1942 and 1948

LCM of 1942 and 1948 is 1891508

Least common multiple can be found by multiplying the highest exponent prime factors of 1942 and 1948. First we will calculate the prime factors of 1942 and 1948.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1942 and 1948.

LCM(1942,1948) = 22×4871×9711
LCM(1942,1948) = 1891508

Factors of 1942

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

1, 2, 971, 1942

Factors of 1948

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

1, 2, 4, 487, 974, 1948

Least Common Multiple of 1942 and 1948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1942 and 1948, than apply into the LCM equation.

GCF(1942,1948) = 2
LCM(1942,1948) = ( 1942 × 1948) / 2
LCM(1942,1948) = 3783016 / 2
LCM(1942,1948) = 1891508

Properties of LCM 1942 and 1948

(i) The LCM of 1948 and 1942 is associative

LCM of 1942 and 1948 = LCM of 1948 and 1942

Related Least Common Multiples of 1942

Related Least Common Multiples of 1948

Frequently Asked Questions on LCM of 1942 and 1948

1. What is the LCM of 1942 and 1948?

Answer: LCM of 1942 and 1948 is 1891508.

2. 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.

3. 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.

4. How to Find the LCM of 1942 and 1948?

Answer:

Least Common Multiple of 1942 and 1948 = 1891508

Step 1: Find the prime factorization of 1942

1942 = 2 x 971

Step 2: Find the prime factorization of 1948

1948 = 2 x 2 x 487

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

LCM = 1891508 = 2 x 2 x 487 x 971

Step 4: Therefore, the least common multiple of 1942 and 1948 is 1891508.