Least Common Multiple of 745 and 748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 745 and 748 the smallest integer that is 557260 that is divisible by both numbers.

Least Common Multiple (LCM) of 745 and 748 is 557260.

LCM(745,748) = 557260

LCM of 745 and 748

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

LCM of:
and

Least Common Multiple of 745 and 748

LCM of 745 and 748 is 557260

Least common multiple can be found by multiplying the highest exponent prime factors of 745 and 748. First we will calculate the prime factors of 745 and 748.

Prime Factorization of 745


5 745
149 149
1

Prime factors of 745 are 5,149. Prime factorization of 745 in exponential form is:

745 = 51×1491

Prime Factorization of 748


2 748
2 374
11 187
17 17
1

Prime factors of 748 are 2, 11,17. Prime factorization of 748 in exponential form is:

748 = 22×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 745 and 748.

LCM(745,748) = 22×51×111×171×1491
LCM(745,748) = 557260

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Least Common Multiple of 745 and 748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 745 and 748, than apply into the LCM equation.

GCF(745,748) = 1
LCM(745,748) = ( 745 × 748) / 1
LCM(745,748) = 557260 / 1
LCM(745,748) = 557260

Properties of LCM 745 and 748

(i) The LCM of 748 and 745 is associative

LCM of 745 and 748 = LCM of 748 and 745

Related Least Common Multiples of 745

Related Least Common Multiples of 748

Frequently Asked Questions on LCM of 745 and 748

1. What is the LCM of 745 and 748?

Answer: LCM of 745 and 748 is 557260.

2. What are the Factors of 745?

Answer: Factors of 745 are 1, 5, 149, 745. There are 4 integers that are factors of 745. The greatest factor of 745 is 745.

3. What are the Factors of 748?

Answer: Factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748. There are 12 integers that are factors of 748. The greatest factor of 748 is 748.

4. How to Find the LCM of 745 and 748?

Answer:

Least Common Multiple of 745 and 748 = 557260

Step 1: Find the prime factorization of 745

745 = 5 x 149

Step 2: Find the prime factorization of 748

748 = 2 x 2 x 11 x 17

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

LCM = 557260 = 2 x 2 x 5 x 11 x 17 x 149

Step 4: Therefore, the least common multiple of 745 and 748 is 557260.