# Least Common Multiple of 4 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 4 and 10 is 20.

LCM(4,10) = 20

LCM Calculator and

## Least Common Multiple of 4 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 4 and 10, than apply into the LCM equation.

GCF(4,10) = 2
LCM(4,10) = ( 4 × 10) / 2
LCM(4,10) = 40 / 2
LCM(4,10) = 20

## Least Common Multiple (LCM) of 4 and 10 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4 and 10. First we will calculate the prime factors of 4 and 10.

### Prime Factorization of 4

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

### Prime Factorization of 10

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

10 = 21 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 4 and 10.

LCM(4,10) = 22 × 51
LCM(4,10) = 20