Least Common Multiple of 1574 and 1577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1574 and 1577 the smallest integer that is 2482198 that is divisible by both numbers.

Least Common Multiple (LCM) of 1574 and 1577 is 2482198.

LCM(1574,1577) = 2482198

LCM of 1574 and 1577

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

LCM of:
and

Least Common Multiple of 1574 and 1577

LCM of 1574 and 1577 is 2482198

Least common multiple can be found by multiplying the highest exponent prime factors of 1574 and 1577. First we will calculate the prime factors of 1574 and 1577.

Prime Factorization of 1574


2 1574
787 787
1

Prime factors of 1574 are 2,787. Prime factorization of 1574 in exponential form is:

1574 = 21×7871

Prime Factorization of 1577


19 1577
83 83
1

Prime factors of 1577 are 19,83. Prime factorization of 1577 in exponential form is:

1577 = 191×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1574 and 1577.

LCM(1574,1577) = 21×191×831×7871
LCM(1574,1577) = 2482198

Factors of 1574

List of positive integer factors of 1574 that divides 1574 without a remainder.

1, 2, 787, 1574

Factors of 1577

List of positive integer factors of 1577 that divides 1577 without a remainder.

1, 19, 83, 1577

Least Common Multiple of 1574 and 1577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1574 and 1577, than apply into the LCM equation.

GCF(1574,1577) = 1
LCM(1574,1577) = ( 1574 × 1577) / 1
LCM(1574,1577) = 2482198 / 1
LCM(1574,1577) = 2482198

Properties of LCM 1574 and 1577

(i) The LCM of 1577 and 1574 is associative

LCM of 1574 and 1577 = LCM of 1577 and 1574

Related Least Common Multiples of 1574

Related Least Common Multiples of 1577

Frequently Asked Questions on LCM of 1574 and 1577

1. What is the LCM of 1574 and 1577?

Answer: LCM of 1574 and 1577 is 2482198.

2. What are the Factors of 1574?

Answer: Factors of 1574 are 1, 2, 787, 1574. There are 4 integers that are factors of 1574. The greatest factor of 1574 is 1574.

3. What are the Factors of 1577?

Answer: Factors of 1577 are 1, 19, 83, 1577. There are 4 integers that are factors of 1577. The greatest factor of 1577 is 1577.

4. How to Find the LCM of 1574 and 1577?

Answer:

Least Common Multiple of 1574 and 1577 = 2482198

Step 1: Find the prime factorization of 1574

1574 = 2 x 787

Step 2: Find the prime factorization of 1577

1577 = 19 x 83

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

LCM = 2482198 = 2 x 19 x 83 x 787

Step 4: Therefore, the least common multiple of 1574 and 1577 is 2482198.