Least Common Multiple of 755 and 758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 755 and 758 the smallest integer that is 572290 that is divisible by both numbers.

Least Common Multiple (LCM) of 755 and 758 is 572290.

LCM(755,758) = 572290

LCM of 755 and 758

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

LCM of:
and

Least Common Multiple of 755 and 758

LCM of 755 and 758 is 572290

Least common multiple can be found by multiplying the highest exponent prime factors of 755 and 758. First we will calculate the prime factors of 755 and 758.

Prime Factorization of 755


5 755
151 151
1

Prime factors of 755 are 5,151. Prime factorization of 755 in exponential form is:

755 = 51×1511

Prime Factorization of 758


2 758
379 379
1

Prime factors of 758 are 2,379. Prime factorization of 758 in exponential form is:

758 = 21×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 755 and 758.

LCM(755,758) = 21×51×1511×3791
LCM(755,758) = 572290

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Least Common Multiple of 755 and 758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 755 and 758, than apply into the LCM equation.

GCF(755,758) = 1
LCM(755,758) = ( 755 × 758) / 1
LCM(755,758) = 572290 / 1
LCM(755,758) = 572290

Properties of LCM 755 and 758

(i) The LCM of 758 and 755 is associative

LCM of 755 and 758 = LCM of 758 and 755

Related Least Common Multiples of 755

Related Least Common Multiples of 758

Frequently Asked Questions on LCM of 755 and 758

1. What is the LCM of 755 and 758?

Answer: LCM of 755 and 758 is 572290.

2. What are the Factors of 755?

Answer: Factors of 755 are 1, 5, 151, 755. There are 4 integers that are factors of 755. The greatest factor of 755 is 755.

3. What are the Factors of 758?

Answer: Factors of 758 are 1, 2, 379, 758. There are 4 integers that are factors of 758. The greatest factor of 758 is 758.

4. How to Find the LCM of 755 and 758?

Answer:

Least Common Multiple of 755 and 758 = 572290

Step 1: Find the prime factorization of 755

755 = 5 x 151

Step 2: Find the prime factorization of 758

758 = 2 x 379

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

LCM = 572290 = 2 x 5 x 151 x 379

Step 4: Therefore, the least common multiple of 755 and 758 is 572290.