What is the Least Common Multiple of 58242 and 58259?

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 58242 and 58259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58242 and 58259, than apply into the LCM equation.

GCF(58242,58259) = 17
LCM(58242,58259) = ( 58242 × 58259) / 17
LCM(58242,58259) = 3393120678 / 17
LCM(58242,58259) = 199595334

Least Common Multiple (LCM) of 58242 and 58259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58242 and 58259. First we will calculate the prime factors of 58242 and 58259.

Prime Factorization of 58242

Prime Factorization of 58259

Now multiplying the highest exponent prime factors to calculate the LCM of 58242 and 58259.

LCM(58242,58259) = 2¹ × 3¹ × 17¹ × 571¹ × 23¹ × 149¹
LCM(58242,58259) = 199595334