What is the Least Common Multiple of 74345 and 74365?

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 74345 and 74365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74345 and 74365, than apply into the LCM equation.

GCF(74345,74365) = 5
LCM(74345,74365) = ( 74345 × 74365) / 5
LCM(74345,74365) = 5528665925 / 5
LCM(74345,74365) = 1105733185

Least Common Multiple (LCM) of 74345 and 74365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74345 and 74365. First we will calculate the prime factors of 74345 and 74365.

Prime Factorization of 74345

Prime Factorization of 74365

Now multiplying the highest exponent prime factors to calculate the LCM of 74345 and 74365.

LCM(74345,74365) = 5¹ × 14869¹ × 107¹ × 139¹
LCM(74345,74365) = 1105733185