What is the Least Common Multiple of 59209 and 59227?

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 59209 and 59227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59209 and 59227, than apply into the LCM equation.

GCF(59209,59227) = 1
LCM(59209,59227) = ( 59209 × 59227) / 1
LCM(59209,59227) = 3506771443 / 1
LCM(59209,59227) = 3506771443

Least Common Multiple (LCM) of 59209 and 59227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59209 and 59227. First we will calculate the prime factors of 59209 and 59227.

Prime Factorization of 59209

Prime Factorization of 59227

Now multiplying the highest exponent prime factors to calculate the LCM of 59209 and 59227.

LCM(59209,59227) = 59209¹ × 7¹ × 8461¹
LCM(59209,59227) = 3506771443