What is the Least Common Multiple of 58145 and 58160?

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 58145 and 58160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58145 and 58160, than apply into the LCM equation.

GCF(58145,58160) = 5
LCM(58145,58160) = ( 58145 × 58160) / 5
LCM(58145,58160) = 3381713200 / 5
LCM(58145,58160) = 676342640

Least Common Multiple (LCM) of 58145 and 58160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58145 and 58160. First we will calculate the prime factors of 58145 and 58160.

Prime Factorization of 58145

Prime Factorization of 58160

Now multiplying the highest exponent prime factors to calculate the LCM of 58145 and 58160.

LCM(58145,58160) = 5¹ × 29¹ × 401¹ × 2⁴ × 727¹
LCM(58145,58160) = 676342640