What is the Least Common Multiple of 59459 and 59475?

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 59475 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 59475, than apply into the LCM equation.

GCF(59459,59475) = 1
LCM(59459,59475) = ( 59459 × 59475) / 1
LCM(59459,59475) = 3536324025 / 1
LCM(59459,59475) = 3536324025

Least Common Multiple (LCM) of 59459 and 59475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59459 and 59475. First we will calculate the prime factors of 59459 and 59475.

Prime Factorization of 59459

Prime Factorization of 59475

Now multiplying the highest exponent prime factors to calculate the LCM of 59459 and 59475.

LCM(59459,59475) = 37¹ × 1607¹ × 3¹ × 5² × 13¹ × 61¹
LCM(59459,59475) = 3536324025