What is the Least Common Multiple of 58160 and 58174?

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 58174 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 58174, than apply into the LCM equation.

GCF(58160,58174) = 2
LCM(58160,58174) = ( 58160 × 58174) / 2
LCM(58160,58174) = 3383399840 / 2
LCM(58160,58174) = 1691699920

Least Common Multiple (LCM) of 58160 and 58174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58160 and 58174. First we will calculate the prime factors of 58160 and 58174.

Prime Factorization of 58160

Prime Factorization of 58174

Now multiplying the highest exponent prime factors to calculate the LCM of 58160 and 58174.

LCM(58160,58174) = 2⁴ × 5¹ × 727¹ × 17¹ × 29¹ × 59¹
LCM(58160,58174) = 1691699920