What is the Least Common Multiple of 59265 and 59283?

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 59265 and 59283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59265 and 59283, than apply into the LCM equation.

GCF(59265,59283) = 9
LCM(59265,59283) = ( 59265 × 59283) / 9
LCM(59265,59283) = 3513406995 / 9
LCM(59265,59283) = 390378555

Least Common Multiple (LCM) of 59265 and 59283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59265 and 59283. First we will calculate the prime factors of 59265 and 59283.

Prime Factorization of 59265

Prime Factorization of 59283

Now multiplying the highest exponent prime factors to calculate the LCM of 59265 and 59283.

LCM(59265,59283) = 3³ × 5¹ × 439¹ × 7¹ × 941¹
LCM(59265,59283) = 390378555