What is the Least Common Multiple of 74365 and 74383?

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 74383 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 74383, than apply into the LCM equation.

GCF(74365,74383) = 1
LCM(74365,74383) = ( 74365 × 74383) / 1
LCM(74365,74383) = 5531491795 / 1
LCM(74365,74383) = 5531491795

Least Common Multiple (LCM) of 74365 and 74383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74365 and 74383. First we will calculate the prime factors of 74365 and 74383.

Prime Factorization of 74365

Prime Factorization of 74383

Now multiplying the highest exponent prime factors to calculate the LCM of 74365 and 74383.

LCM(74365,74383) = 5¹ × 107¹ × 139¹ × 74383¹
LCM(74365,74383) = 5531491795