Least Common Multiple of 1772 and 1778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1772 and 1778 the smallest integer that is 1575308 that is divisible by both numbers.

Least Common Multiple (LCM) of 1772 and 1778 is 1575308.

LCM(1772,1778) = 1575308

LCM of 1772 and 1778

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

LCM of:
and

Least Common Multiple of 1772 and 1778

LCM of 1772 and 1778 is 1575308

Least common multiple can be found by multiplying the highest exponent prime factors of 1772 and 1778. First we will calculate the prime factors of 1772 and 1778.

Prime Factorization of 1772


2 1772
2 886
443 443
1

Prime factors of 1772 are 2,443. Prime factorization of 1772 in exponential form is:

1772 = 22×4431

Prime Factorization of 1778


2 1778
7 889
127 127
1

Prime factors of 1778 are 2, 7,127. Prime factorization of 1778 in exponential form is:

1778 = 21×71×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 1772 and 1778.

LCM(1772,1778) = 22×71×1271×4431
LCM(1772,1778) = 1575308

Factors of 1772

List of positive integer factors of 1772 that divides 1772 without a remainder.

1, 2, 4, 443, 886, 1772

Factors of 1778

List of positive integer factors of 1778 that divides 1778 without a remainder.

1, 2, 7, 14, 127, 254, 889, 1778

Least Common Multiple of 1772 and 1778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1772 and 1778, than apply into the LCM equation.

GCF(1772,1778) = 2
LCM(1772,1778) = ( 1772 × 1778) / 2
LCM(1772,1778) = 3150616 / 2
LCM(1772,1778) = 1575308

Properties of LCM 1772 and 1778

(i) The LCM of 1778 and 1772 is associative

LCM of 1772 and 1778 = LCM of 1778 and 1772

Related Least Common Multiples of 1772

Related Least Common Multiples of 1778

Frequently Asked Questions on LCM of 1772 and 1778

1. What is the LCM of 1772 and 1778?

Answer: LCM of 1772 and 1778 is 1575308.

2. What are the Factors of 1772?

Answer: Factors of 1772 are 1, 2, 4, 443, 886, 1772. There are 6 integers that are factors of 1772. The greatest factor of 1772 is 1772.

3. What are the Factors of 1778?

Answer: Factors of 1778 are 1, 2, 7, 14, 127, 254, 889, 1778. There are 8 integers that are factors of 1778. The greatest factor of 1778 is 1778.

4. How to Find the LCM of 1772 and 1778?

Answer:

Least Common Multiple of 1772 and 1778 = 1575308

Step 1: Find the prime factorization of 1772

1772 = 2 x 2 x 443

Step 2: Find the prime factorization of 1778

1778 = 2 x 7 x 127

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

LCM = 1575308 = 2 x 2 x 7 x 127 x 443

Step 4: Therefore, the least common multiple of 1772 and 1778 is 1575308.