What is the Least Common Multiple of 59248 and 59259?

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 59248 and 59259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59248 and 59259, than apply into the LCM equation.

GCF(59248,59259) = 1
LCM(59248,59259) = ( 59248 × 59259) / 1
LCM(59248,59259) = 3510977232 / 1
LCM(59248,59259) = 3510977232

Least Common Multiple (LCM) of 59248 and 59259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59248 and 59259. First we will calculate the prime factors of 59248 and 59259.

Prime Factorization of 59248

Prime Factorization of 59259

Now multiplying the highest exponent prime factors to calculate the LCM of 59248 and 59259.

LCM(59248,59259) = 2⁴ × 7¹ × 23² × 3¹ × 19753¹
LCM(59248,59259) = 3510977232