Least Common Multiple of 3884 and 3890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3884 and 3890 the smallest integer that is 7554380 that is divisible by both numbers.

Least Common Multiple (LCM) of 3884 and 3890 is 7554380.

LCM(3884,3890) = 7554380

LCM of 3884 and 3890

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

LCM of:
and

Least Common Multiple of 3884 and 3890

LCM of 3884 and 3890 is 7554380

Least common multiple can be found by multiplying the highest exponent prime factors of 3884 and 3890. First we will calculate the prime factors of 3884 and 3890.

Prime Factorization of 3884


2 3884
2 1942
971 971
1

Prime factors of 3884 are 2,971. Prime factorization of 3884 in exponential form is:

3884 = 22×9711

Prime Factorization of 3890


2 3890
5 1945
389 389
1

Prime factors of 3890 are 2, 5,389. Prime factorization of 3890 in exponential form is:

3890 = 21×51×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 3884 and 3890.

LCM(3884,3890) = 22×51×3891×9711
LCM(3884,3890) = 7554380

Factors of 3884

List of positive integer factors of 3884 that divides 3884 without a remainder.

1, 2, 4, 971, 1942, 3884

Factors of 3890

List of positive integer factors of 3890 that divides 3890 without a remainder.

1, 2, 5, 10, 389, 778, 1945, 3890

Least Common Multiple of 3884 and 3890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3884 and 3890, than apply into the LCM equation.

GCF(3884,3890) = 2
LCM(3884,3890) = ( 3884 × 3890) / 2
LCM(3884,3890) = 15108760 / 2
LCM(3884,3890) = 7554380

Properties of LCM 3884 and 3890

(i) The LCM of 3890 and 3884 is associative

LCM of 3884 and 3890 = LCM of 3890 and 3884

Related Least Common Multiples of 3884

Related Least Common Multiples of 3890

Frequently Asked Questions on LCM of 3884 and 3890

1. What is the LCM of 3884 and 3890?

Answer: LCM of 3884 and 3890 is 7554380.

2. What are the Factors of 3884?

Answer: Factors of 3884 are 1, 2, 4, 971, 1942, 3884. There are 6 integers that are factors of 3884. The greatest factor of 3884 is 3884.

3. What are the Factors of 3890?

Answer: Factors of 3890 are 1, 2, 5, 10, 389, 778, 1945, 3890. There are 8 integers that are factors of 3890. The greatest factor of 3890 is 3890.

4. How to Find the LCM of 3884 and 3890?

Answer:

Least Common Multiple of 3884 and 3890 = 7554380

Step 1: Find the prime factorization of 3884

3884 = 2 x 2 x 971

Step 2: Find the prime factorization of 3890

3890 = 2 x 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 = 7554380 = 2 x 2 x 5 x 389 x 971

Step 4: Therefore, the least common multiple of 3884 and 3890 is 7554380.