What is the Least Common Multiple of 47225 and 47230?

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 47230 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 47230, than apply into the LCM equation.

GCF(47225,47230) = 5
LCM(47225,47230) = ( 47225 × 47230) / 5
LCM(47225,47230) = 2230436750 / 5
LCM(47225,47230) = 446087350

Least Common Multiple (LCM) of 47225 and 47230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47225 and 47230. First we will calculate the prime factors of 47225 and 47230.

Prime Factorization of 47225

Prime Factorization of 47230

Now multiplying the highest exponent prime factors to calculate the LCM of 47225 and 47230.

LCM(47225,47230) = 5² × 1889¹ × 2¹ × 4723¹
LCM(47225,47230) = 446087350