Least Common Multiple of 607 and 608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 607 and 608 the smallest integer that is 369056 that is divisible by both numbers.

Least Common Multiple (LCM) of 607 and 608 is 369056.

LCM(607,608) = 369056

LCM of 607 and 608

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

LCM of:
and

Least Common Multiple of 607 and 608

LCM of 607 and 608 is 369056

Least common multiple can be found by multiplying the highest exponent prime factors of 607 and 608. First we will calculate the prime factors of 607 and 608.

Prime Factorization of 607


607 607
1

Prime factors of 607 are 607. Prime factorization of 607 in exponential form is:

607 = 6071

Prime Factorization of 608


2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 608 are 2,19. Prime factorization of 608 in exponential form is:

608 = 25×191

Now multiplying the highest exponent prime factors to calculate the LCM of 607 and 608.

LCM(607,608) = 25×191×6071
LCM(607,608) = 369056

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1, 607

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Least Common Multiple of 607 and 608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 607 and 608, than apply into the LCM equation.

GCF(607,608) = 1
LCM(607,608) = ( 607 × 608) / 1
LCM(607,608) = 369056 / 1
LCM(607,608) = 369056

Properties of LCM 607 and 608

(i) The LCM of 608 and 607 is associative

LCM of 607 and 608 = LCM of 608 and 607

Related Least Common Multiples of 607

Related Least Common Multiples of 608

Frequently Asked Questions on LCM of 607 and 608

1. What is the LCM of 607 and 608?

Answer: LCM of 607 and 608 is 369056.

2. What are the Factors of 607?

Answer: Factors of 607 are 1, 607. There are 2 integers that are factors of 607. The greatest factor of 607 is 607.

3. What are the Factors of 608?

Answer: Factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608. There are 12 integers that are factors of 608. The greatest factor of 608 is 608.

4. How to Find the LCM of 607 and 608?

Answer:

Least Common Multiple of 607 and 608 = 369056

Step 1: Find the prime factorization of 607

607 = 607

Step 2: Find the prime factorization of 608

608 = 2 x 2 x 2 x 2 x 2 x 19

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

LCM = 369056 = 2 x 2 x 2 x 2 x 2 x 19 x 607

Step 4: Therefore, the least common multiple of 607 and 608 is 369056.