Least Common Multiple of 1772 and 1777

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 1777 the smallest integer that is 3148844 that is divisible by both numbers.

Least Common Multiple (LCM) of 1772 and 1777 is 3148844.

LCM(1772,1777) = 3148844

LCM of 1772 and 1777

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

LCM of:
and

Least Common Multiple of 1772 and 1777

LCM of 1772 and 1777 is 3148844

Least common multiple can be found by multiplying the highest exponent prime factors of 1772 and 1777. First we will calculate the prime factors of 1772 and 1777.

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 1777


1777 1777
1

Prime factors of 1777 are 1777. Prime factorization of 1777 in exponential form is:

1777 = 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 1772 and 1777.

LCM(1772,1777) = 22×4431×17771
LCM(1772,1777) = 3148844

Factors of 1772

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

1, 2, 4, 443, 886, 1772

Factors of 1777

List of positive integer factors of 1777 that divides 1777 without a remainder.

1, 1777

Least Common Multiple of 1772 and 1777 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 1777, than apply into the LCM equation.

GCF(1772,1777) = 1
LCM(1772,1777) = ( 1772 × 1777) / 1
LCM(1772,1777) = 3148844 / 1
LCM(1772,1777) = 3148844

Properties of LCM 1772 and 1777

(i) The LCM of 1777 and 1772 is associative

LCM of 1772 and 1777 = LCM of 1777 and 1772

Related Least Common Multiples of 1772

Related Least Common Multiples of 1777

Frequently Asked Questions on LCM of 1772 and 1777

1. What is the LCM of 1772 and 1777?

Answer: LCM of 1772 and 1777 is 3148844.

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 1777?

Answer: Factors of 1777 are 1, 1777. There are 2 integers that are factors of 1777. The greatest factor of 1777 is 1777.

4. How to Find the LCM of 1772 and 1777?

Answer:

Least Common Multiple of 1772 and 1777 = 3148844

Step 1: Find the prime factorization of 1772

1772 = 2 x 2 x 443

Step 2: Find the prime factorization of 1777

1777 = 1777

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

LCM = 3148844 = 2 x 2 x 443 x 1777

Step 4: Therefore, the least common multiple of 1772 and 1777 is 3148844.