Least Common Multiple of 1572 and 1576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1572 and 1576 the smallest integer that is 619368 that is divisible by both numbers.

Least Common Multiple (LCM) of 1572 and 1576 is 619368.

LCM(1572,1576) = 619368

LCM of 1572 and 1576

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

LCM of:
and

Least Common Multiple of 1572 and 1576

LCM of 1572 and 1576 is 619368

Least common multiple can be found by multiplying the highest exponent prime factors of 1572 and 1576. First we will calculate the prime factors of 1572 and 1576.

Prime Factorization of 1572


2 1572
2 786
3 393
131 131
1

Prime factors of 1572 are 2, 3,131. Prime factorization of 1572 in exponential form is:

1572 = 22×31×1311

Prime Factorization of 1576


2 1576
2 788
2 394
197 197
1

Prime factors of 1576 are 2,197. Prime factorization of 1576 in exponential form is:

1576 = 23×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 1572 and 1576.

LCM(1572,1576) = 23×31×1311×1971
LCM(1572,1576) = 619368

Factors of 1572

List of positive integer factors of 1572 that divides 1572 without a remainder.

1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572

Factors of 1576

List of positive integer factors of 1576 that divides 1576 without a remainder.

1, 2, 4, 8, 197, 394, 788, 1576

Least Common Multiple of 1572 and 1576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1572 and 1576, than apply into the LCM equation.

GCF(1572,1576) = 4
LCM(1572,1576) = ( 1572 × 1576) / 4
LCM(1572,1576) = 2477472 / 4
LCM(1572,1576) = 619368

Properties of LCM 1572 and 1576

(i) The LCM of 1576 and 1572 is associative

LCM of 1572 and 1576 = LCM of 1576 and 1572

Related Least Common Multiples of 1572

Related Least Common Multiples of 1576

Frequently Asked Questions on LCM of 1572 and 1576

1. What is the LCM of 1572 and 1576?

Answer: LCM of 1572 and 1576 is 619368.

2. What are the Factors of 1572?

Answer: Factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572. There are 12 integers that are factors of 1572. The greatest factor of 1572 is 1572.

3. What are the Factors of 1576?

Answer: Factors of 1576 are 1, 2, 4, 8, 197, 394, 788, 1576. There are 8 integers that are factors of 1576. The greatest factor of 1576 is 1576.

4. How to Find the LCM of 1572 and 1576?

Answer:

Least Common Multiple of 1572 and 1576 = 619368

Step 1: Find the prime factorization of 1572

1572 = 2 x 2 x 3 x 131

Step 2: Find the prime factorization of 1576

1576 = 2 x 2 x 2 x 197

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

LCM = 619368 = 2 x 2 x 2 x 3 x 131 x 197

Step 4: Therefore, the least common multiple of 1572 and 1576 is 619368.