What is the Least Common Multiple of 59272 and 59284?

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 59272 and 59284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59272 and 59284, than apply into the LCM equation.

GCF(59272,59284) = 4
LCM(59272,59284) = ( 59272 × 59284) / 4
LCM(59272,59284) = 3513881248 / 4
LCM(59272,59284) = 878470312

Least Common Multiple (LCM) of 59272 and 59284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59272 and 59284. First we will calculate the prime factors of 59272 and 59284.

Prime Factorization of 59272

Prime Factorization of 59284

Now multiplying the highest exponent prime factors to calculate the LCM of 59272 and 59284.

LCM(59272,59284) = 2³ × 31¹ × 239¹ × 14821¹
LCM(59272,59284) = 878470312