Least Common Multiple of 5 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 of 5 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 5 and 10, than apply into the LCM equation.

GCF(5,10) = 5
LCM(5,10) = ( 5 × 10) / 5
LCM(5,10) = 50 / 5
LCM(5,10) = 10

Least Common Multiple (LCM) of 5 and 10 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5 and 10. First we will calculate the prime factors of 5 and 10.

Prime Factorization of 5

Prime Factorization of 10

Now multiplying the highest exponent prime factors to calculate the LCM of 5 and 10.

LCM(5,10) = 5¹ × 2¹
LCM(5,10) = 10