Least Common Multiple of 740 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 740 and 748 the smallest integer that is 138380 that is divisible by both numbers.

Least Common Multiple (LCM) of 740 and 748 is 138380.

LCM(740,748) = 138380

LCM of 740 and 748

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

LCM of:
and

Least Common Multiple of 740 and 748

LCM of 740 and 748 is 138380

Least common multiple can be found by multiplying the highest exponent prime factors of 740 and 748. First we will calculate the prime factors of 740 and 748.

Prime Factorization of 740


2 740
2 370
5 185
37 37
1

Prime factors of 740 are 2, 5,37. Prime factorization of 740 in exponential form is:

740 = 22×51×371

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 740 and 748.

LCM(740,748) = 22×51×111×171×371
LCM(740,748) = 138380

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 740 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 740 and 748, than apply into the LCM equation.

GCF(740,748) = 4
LCM(740,748) = ( 740 × 748) / 4
LCM(740,748) = 553520 / 4
LCM(740,748) = 138380

Properties of LCM 740 and 748

(i) The LCM of 748 and 740 is associative

LCM of 740 and 748 = LCM of 748 and 740

Related Least Common Multiples of 740

Related Least Common Multiples of 748

Frequently Asked Questions on LCM of 740 and 748

1. What is the LCM of 740 and 748?

Answer: LCM of 740 and 748 is 138380.

2. What are the Factors of 740?

Answer: Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740. There are 12 integers that are factors of 740. The greatest factor of 740 is 740.

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 740 and 748?

Answer:

Least Common Multiple of 740 and 748 = 138380

Step 1: Find the prime factorization of 740

740 = 2 x 2 x 5 x 37

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 = 138380 = 2 x 2 x 5 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 740 and 748 is 138380.