What is the Least Common Multiple of 47225 and 47240?

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 47225 and 47240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47225 and 47240, than apply into the LCM equation.

GCF(47225,47240) = 5
LCM(47225,47240) = ( 47225 × 47240) / 5
LCM(47225,47240) = 2230909000 / 5
LCM(47225,47240) = 446181800

Least Common Multiple (LCM) of 47225 and 47240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47225 and 47240. First we will calculate the prime factors of 47225 and 47240.

Prime Factorization of 47225

Prime Factorization of 47240

Now multiplying the highest exponent prime factors to calculate the LCM of 47225 and 47240.

LCM(47225,47240) = 5² × 1889¹ × 2³ × 1181¹
LCM(47225,47240) = 446181800