What is the Least Common Multiple of 74365 and 74375?

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 74365 and 74375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74365 and 74375, than apply into the LCM equation.

GCF(74365,74375) = 5
LCM(74365,74375) = ( 74365 × 74375) / 5
LCM(74365,74375) = 5530896875 / 5
LCM(74365,74375) = 1106179375

Least Common Multiple (LCM) of 74365 and 74375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74365 and 74375. First we will calculate the prime factors of 74365 and 74375.

Prime Factorization of 74365

Prime Factorization of 74375

Now multiplying the highest exponent prime factors to calculate the LCM of 74365 and 74375.

LCM(74365,74375) = 5⁴ × 107¹ × 139¹ × 7¹ × 17¹
LCM(74365,74375) = 1106179375