What is the Least Common Multiple of 58208 and 58215?

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 58208 and 58215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58208 and 58215, than apply into the LCM equation.

GCF(58208,58215) = 1
LCM(58208,58215) = ( 58208 × 58215) / 1
LCM(58208,58215) = 3388578720 / 1
LCM(58208,58215) = 3388578720

Least Common Multiple (LCM) of 58208 and 58215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58208 and 58215. First we will calculate the prime factors of 58208 and 58215.

Prime Factorization of 58208

Prime Factorization of 58215

Now multiplying the highest exponent prime factors to calculate the LCM of 58208 and 58215.

LCM(58208,58215) = 2⁵ × 17¹ × 107¹ × 3¹ × 5¹ × 3881¹
LCM(58208,58215) = 3388578720