Least Common Multiple of 45 and 62

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 45 and 62 the smallest integer that is 2790 that is divisible by both numbers.

Least Common Multiple (LCM) of 45 and 62 is 2790.

LCM(45,62) = 2790

LCM of 45 and 62

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

LCM of:
and

Least Common Multiple of 45 and 62

LCM of 45 and 62 is 2790

Least common multiple can be found by multiplying the highest exponent prime factors of 45 and 62. First we will calculate the prime factors of 45 and 62.

Prime Factorization of 45


3 45
3 15
5 5
1

Prime factors of 45 are 3,5. Prime factorization of 45 in exponential form is:

45 = 32×51

Prime Factorization of 62


2 62
31 31
1

Prime factors of 62 are 2,31. Prime factorization of 62 in exponential form is:

62 = 21×311

Now multiplying the highest exponent prime factors to calculate the LCM of 45 and 62.

LCM(45,62) = 21×32×51×311
LCM(45,62) = 2790

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Least Common Multiple of 45 and 62 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45 and 62, than apply into the LCM equation.

GCF(45,62) = 1
LCM(45,62) = ( 45 × 62) / 1
LCM(45,62) = 2790 / 1
LCM(45,62) = 2790

Properties of LCM 45 and 62

(i) The LCM of 62 and 45 is associative

LCM of 45 and 62 = LCM of 62 and 45

Related Least Common Multiples of 45

Related Least Common Multiples of 62

Frequently Asked Questions on LCM of 45 and 62

1. What is the LCM of 45 and 62?

Answer: LCM of 45 and 62 is 2790.

2. What are the Factors of 45?

Answer: Factors of 45 are 1, 3, 5, 9, 15, 45. There are 6 integers that are factors of 45. The greatest factor of 45 is 45.

3. What are the Factors of 62?

Answer: Factors of 62 are 1, 2, 31, 62. There are 4 integers that are factors of 62. The greatest factor of 62 is 62.

4. How to Find the LCM of 45 and 62?

Answer:

Least Common Multiple of 45 and 62 = 2790

Step 1: Find the prime factorization of 45

45 = 3 x 3 x 5

Step 2: Find the prime factorization of 62

62 = 2 x 31

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

LCM = 2790 = 2 x 3 x 3 x 5 x 31

Step 4: Therefore, the least common multiple of 45 and 62 is 2790.