# Least Common Multiple of 8 and 10

*Least common multiple* or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 8 and 10 is **40**.

LCM(8,10) = 40

## Least Common Multiple of 8 and 10 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 8 and 10, than apply into the LCM equation.

GCF(8,10) = 2

LCM(8,10) = ( 8 × 10) / 2

LCM(8,10) = 80 / 2

LCM(8,10) = 40

## Least Common Multiple (LCM) of 8 and 10 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8 and 10. First we will calculate the **prime factors of 8 and 10**.

### Prime Factorization of 8

Prime factors of 8 are 2. Prime factorization of **8** in exponential form is:

8 = 2^{3}

### Prime Factorization of 10

Prime factors of 10 are 2, 5. Prime factorization of **10** in exponential form is:

10 = 2^{1} × 5^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 8 and 10**.

LCM(8,10) = 2^{3} × 5^{1}

LCM(8,10) = 40

## Recent Comments

Very helpful thanks

Thanks i understand very properly

its very helpful

thanks really helpful

Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over.

very very helpful thanks!

Well, it is good, but my son cheats using this website.

very helpful.