Least Common Multiple of 1860 and 1868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1860 and 1868 the smallest integer that is 868620 that is divisible by both numbers.

Least Common Multiple (LCM) of 1860 and 1868 is 868620.

LCM(1860,1868) = 868620

LCM of 1860 and 1868

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

LCM of:
and

Least Common Multiple of 1860 and 1868

LCM of 1860 and 1868 is 868620

Least common multiple can be found by multiplying the highest exponent prime factors of 1860 and 1868. First we will calculate the prime factors of 1860 and 1868.

Prime Factorization of 1860


2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 1860 are 2, 3, 5,31. Prime factorization of 1860 in exponential form is:

1860 = 22×31×51×311

Prime Factorization of 1868


2 1868
2 934
467 467
1

Prime factors of 1868 are 2,467. Prime factorization of 1868 in exponential form is:

1868 = 22×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 1860 and 1868.

LCM(1860,1868) = 22×31×51×311×4671
LCM(1860,1868) = 868620

Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860

Factors of 1868

List of positive integer factors of 1868 that divides 1868 without a remainder.

1, 2, 4, 467, 934, 1868

Least Common Multiple of 1860 and 1868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1860 and 1868, than apply into the LCM equation.

GCF(1860,1868) = 4
LCM(1860,1868) = ( 1860 × 1868) / 4
LCM(1860,1868) = 3474480 / 4
LCM(1860,1868) = 868620

Properties of LCM 1860 and 1868

(i) The LCM of 1868 and 1860 is associative

LCM of 1860 and 1868 = LCM of 1868 and 1860

Related Least Common Multiples of 1860

Related Least Common Multiples of 1868

Frequently Asked Questions on LCM of 1860 and 1868

1. What is the LCM of 1860 and 1868?

Answer: LCM of 1860 and 1868 is 868620.

2. What are the Factors of 1860?

Answer: Factors of 1860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860. There are 24 integers that are factors of 1860. The greatest factor of 1860 is 1860.

3. What are the Factors of 1868?

Answer: Factors of 1868 are 1, 2, 4, 467, 934, 1868. There are 6 integers that are factors of 1868. The greatest factor of 1868 is 1868.

4. How to Find the LCM of 1860 and 1868?

Answer:

Least Common Multiple of 1860 and 1868 = 868620

Step 1: Find the prime factorization of 1860

1860 = 2 x 2 x 3 x 5 x 31

Step 2: Find the prime factorization of 1868

1868 = 2 x 2 x 467

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

LCM = 868620 = 2 x 2 x 3 x 5 x 31 x 467

Step 4: Therefore, the least common multiple of 1860 and 1868 is 868620.