What is the Least Common Multiple of 58160 and 58171?

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 58160 and 58171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58160 and 58171, than apply into the LCM equation.

GCF(58160,58171) = 1
LCM(58160,58171) = ( 58160 × 58171) / 1
LCM(58160,58171) = 3383225360 / 1
LCM(58160,58171) = 3383225360

Least Common Multiple (LCM) of 58160 and 58171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58160 and 58171. First we will calculate the prime factors of 58160 and 58171.

Prime Factorization of 58160

Prime Factorization of 58171

Now multiplying the highest exponent prime factors to calculate the LCM of 58160 and 58171.

LCM(58160,58171) = 2⁴ × 5¹ × 727¹ × 58171¹
LCM(58160,58171) = 3383225360