What is the Least Common Multiple of 59459 and 59473?

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 59459 and 59473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59459 and 59473, than apply into the LCM equation.

GCF(59459,59473) = 1
LCM(59459,59473) = ( 59459 × 59473) / 1
LCM(59459,59473) = 3536205107 / 1
LCM(59459,59473) = 3536205107

Least Common Multiple (LCM) of 59459 and 59473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59459 and 59473. First we will calculate the prime factors of 59459 and 59473.

Prime Factorization of 59459

Prime Factorization of 59473

Now multiplying the highest exponent prime factors to calculate the LCM of 59459 and 59473.

LCM(59459,59473) = 37¹ × 1607¹ × 59473¹
LCM(59459,59473) = 3536205107